Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 7.10, Problem 30PPS

a.

To determine

To calculate: The relationship between the terms of the sequence and to calculate the next five terms in the sequence.

a.

Expert Solution
Check Mark

Answer to Problem 30PPS

The next five terms are 13,21,34,55,89.

Explanation of Solution

Given:

The first term are 1,1,2,3,5,8,….

Calculation:

Notice that for the sequence 1,1,2,3,4,5,8…….

  a1+a2=1+1=2=a3.a2+a3=1+2=3=a4.a3+a4=2+3=5=a5.a4+a5=3+5=8=a6.

Each term is then the sum of the previous two terms. The next five terms are then:

  a7=a5+a6=5+8=13.a8=a6+a7=8+13=21.a9=a7+a8=13+21=34.a10=a8+a9=21+34=55.a11=a9+a10=34+55=89.

So, next five terms are 13,21,34,55,89.

b.

To determine

To write: The formula for the nth term if a1=1,a2=1andn3.

b.

Expert Solution
Check Mark

Answer to Problem 30PPS

  a1=1,a2=1,an=an2+an1 ,n3.

Explanation of Solution

Given:

The first term are 1,1,2,3,5,8,…

Calculation:

From part (a), each term is the sum of the previous two term so,

  an=an2+an1 . The formula is then,

  a1=1,a2=1,an=an2+an1 ,n3.

c.

To determine

To find: The 15th term of the series.

c.

Expert Solution
Check Mark

Answer to Problem 30PPS

The 15th term is 610.

Explanation of Solution

Given:

The first term are 1,1,2,3,5,8,….

Calculation:

Using the recursive formula,

  a1=1,a2=1,an=an2+an1 ,n3.

  a7=a5+a6=5+8=13.a8=a6+a7=8+13=21.a9=a7+a8=13+21=34.a10=a8+a9=21+34=55.a11=a9+a10=34+55=89.a12=a10+a11=55+89=144.a13=a11+a12=89+144=233.a14=a12+a13=144+233=377.a15=a13+a14=233+377=610.

The 15th term is 610.

Conclusion:

d.

To determine

To Explain: The reason that Fibonacci sequence is not an arithmetic sequence.

d.

Expert Solution
Check Mark

Answer to Problem 30PPS

It has no common difference.

Explanation of Solution

Given:

The first term are 1,1,2,3,5,8,….

Calculation:

Fibonacci sequence is not an arithmetic sequence because it has no common difference.

Chapter 7 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - 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Prob. 60PPSCh. 7.2 - Prob. 61HPCh. 7.2 - Prob. 62HPCh. 7.2 - Prob. 63HPCh. 7.2 - Prob. 64HPCh. 7.2 - Prob. 65HPCh. 7.2 - Prob. 66PFACh. 7.2 - Prob. 67PFACh. 7.2 - Prob. 68PFACh. 7.2 - Prob. 69PFACh. 7.2 - Prob. 70PFACh. 7.2 - Prob. 71PFACh. 7.2 - Prob. 72PFACh. 7.3 - Prob. 1AGPCh. 7.3 - Prob. 1BGPCh. 7.3 - Prob. 1CGPCh. 7.3 - Prob. 1DGPCh. 7.3 - Prob. 2AGPCh. 7.3 - Prob. 2BGPCh. 7.3 - Prob. 3AGPCh. 7.3 - Prob. 3BGPCh. 7.3 - Prob. 4AGPCh. 7.3 - Prob. 4BGPCh. 7.3 - Prob. 5AGPCh. 7.3 - Prob. 5BGPCh. 7.3 - Prob. 6GPCh. 7.3 - Prob. 1CYUCh. 7.3 - Prob. 2CYUCh. 7.3 - Prob. 3CYUCh. 7.3 - Prob. 4CYUCh. 7.3 - Prob. 5CYUCh. 7.3 - Prob. 6CYUCh. 7.3 - Prob. 7CYUCh. 7.3 - Prob. 8CYUCh. 7.3 - Prob. 9CYUCh. 7.3 - Prob. 10CYUCh. 7.3 - Prob. 11CYUCh. 7.3 - Prob. 12CYUCh. 7.3 - Prob. 13CYUCh. 7.3 - Prob. 14CYUCh. 7.3 - Prob. 15CYUCh. 7.3 - Prob. 16CYUCh. 7.3 - Prob. 17PPSCh. 7.3 - Prob. 18PPSCh. 7.3 - Prob. 19PPSCh. 7.3 - Prob. 20PPSCh. 7.3 - Prob. 21PPSCh. 7.3 - Prob. 22PPSCh. 7.3 - Prob. 23PPSCh. 7.3 - 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Prob. 7CGPCh. 7.4 - Prob. 7DGPCh. 7.4 - Prob. 8AGPCh. 7.4 - Prob. 8BGPCh. 7.4 - Prob. 8CGPCh. 7.4 - Prob. 8DGPCh. 7.4 - Prob. 9GPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12CYUCh. 7.4 - Prob. 13CYUCh. 7.4 - Prob. 14CYUCh. 7.4 - Prob. 15CYUCh. 7.4 - Prob. 16CYUCh. 7.4 - Prob. 17CYUCh. 7.4 - Prob. 18CYUCh. 7.4 - Prob. 19CYUCh. 7.4 - Prob. 20CYUCh. 7.4 - Prob. 21CYUCh. 7.4 - Prob. 22CYUCh. 7.4 - Prob. 23CYUCh. 7.4 - Prob. 24CYUCh. 7.4 - Prob. 25CYUCh. 7.4 - Prob. 26CYUCh. 7.4 - Prob. 27CYUCh. 7.4 - Prob. 28CYUCh. 7.4 - Prob. 29CYUCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - Prob. 43PPSCh. 7.4 - Prob. 44PPSCh. 7.4 - Prob. 45PPSCh. 7.4 - Prob. 46PPSCh. 7.4 - Prob. 47PPSCh. 7.4 - Prob. 48PPSCh. 7.4 - Prob. 49PPSCh. 7.4 - Prob. 50PPSCh. 7.4 - Prob. 51PPSCh. 7.4 - Prob. 52PPSCh. 7.4 - Prob. 53PPSCh. 7.4 - Prob. 54PPSCh. 7.4 - Prob. 55PPSCh. 7.4 - Prob. 56PPSCh. 7.4 - Prob. 57PPSCh. 7.4 - Prob. 58PPSCh. 7.4 - Prob. 59PPSCh. 7.4 - Prob. 60PPSCh. 7.4 - Prob. 61PPSCh. 7.4 - Prob. 62PPSCh. 7.4 - Prob. 63PPSCh. 7.4 - Prob. 64PPSCh. 7.4 - Prob. 65PPSCh. 7.4 - Prob. 66PPSCh. 7.4 - Prob. 67PPSCh. 7.4 - Prob. 68PPSCh. 7.4 - Prob. 69PPSCh. 7.4 - Prob. 70PPSCh. 7.4 - Prob. 71PPSCh. 7.4 - Prob. 72PPSCh. 7.4 - Prob. 73PPSCh. 7.4 - Prob. 74PPSCh. 7.4 - Prob. 75HPCh. 7.4 - Prob. 76HPCh. 7.4 - Prob. 77HPCh. 7.4 - Prob. 78HPCh. 7.4 - Prob. 79HPCh. 7.4 - Prob. 80HPCh. 7.4 - Prob. 81HPCh. 7.4 - Prob. 82PFACh. 7.4 - Prob. 83PFACh. 7.4 - Prob. 84PFACh. 7.4 - Prob. 85PFACh. 7.4 - Prob. 86PFACh. 7.4 - Prob. 87PFACh. 7.4 - Prob. 88PFACh. 7.4 - Prob. 89PFACh. 7.5 - Prob. 1GPCh. 7.5 - Prob. 2GPCh. 7.5 - Prob. 3GPCh. 7.5 - Prob. 4GPCh. 7.5 - Prob. 1CYUCh. 7.5 - Prob. 2CYUCh. 7.5 - Prob. 3CYUCh. 7.5 - Prob. 4CYUCh. 7.5 - Prob. 5CYUCh. 7.5 - Prob. 6CYUCh. 7.5 - Prob. 7CYUCh. 7.5 - Prob. 8CYUCh. 7.5 - Prob. 9CYUCh. 7.5 - Prob. 10PPSCh. 7.5 - Prob. 11PPSCh. 7.5 - Prob. 12PPSCh. 7.5 - Prob. 13PPSCh. 7.5 - Prob. 14PPSCh. 7.5 - Prob. 15PPSCh. 7.5 - Prob. 16PPSCh. 7.5 - Prob. 17PPSCh. 7.5 - Prob. 18PPSCh. 7.5 - Prob. 19PPSCh. 7.5 - Prob. 20PPSCh. 7.5 - Prob. 21PPSCh. 7.5 - Prob. 22PPSCh. 7.5 - Prob. 23PPSCh. 7.5 - Prob. 24PPSCh. 7.5 - Prob. 25PPSCh. 7.5 - Prob. 26PPSCh. 7.5 - Prob. 27PPSCh. 7.5 - Prob. 28PPSCh. 7.5 - Prob. 29PPSCh. 7.5 - Prob. 30PPSCh. 7.5 - Prob. 31PPSCh. 7.5 - Prob. 32PPSCh. 7.5 - Prob. 33PPSCh. 7.5 - Prob. 34PPSCh. 7.5 - Prob. 35PPSCh. 7.5 - Prob. 36PPSCh. 7.5 - Prob. 37PPSCh. 7.5 - Prob. 38PPSCh. 7.5 - Prob. 39PPSCh. 7.5 - Prob. 40PPSCh. 7.5 - Prob. 41HPCh. 7.5 - Prob. 42HPCh. 7.5 - Prob. 43HPCh. 7.5 - Prob. 44HPCh. 7.5 - Prob. 45HPCh. 7.5 - Prob. 46PFACh. 7.5 - Prob. 47PFACh. 7.5 - 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Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21PPSCh. 7.7 - Prob. 22PPSCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30HPCh. 7.7 - Prob. 31HPCh. 7.7 - Prob. 32HPCh. 7.7 - Prob. 33HPCh. 7.7 - Prob. 34HPCh. 7.7 - Prob. 35PFACh. 7.7 - Prob. 36PFACh. 7.7 - Prob. 37PFACh. 7.7 - Prob. 38PFACh. 7.7 - Prob. 39PFACh. 7.7 - Prob. 40PFACh. 7.7 - Prob. 41PFACh. 7.7 - Prob. 42PFACh. 7.8 - Prob. 1GPCh. 7.8 - Prob. 2GPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3PPSCh. 7.8 - Prob. 4PPSCh. 7.8 - Prob. 5PPSCh. 7.8 - Prob. 6PPSCh. 7.8 - Prob. 7PPSCh. 7.8 - Prob. 8HPCh. 7.8 - Prob. 9HPCh. 7.8 - Prob. 10HPCh. 7.8 - Prob. 11HPCh. 7.8 - Prob. 12PFACh. 7.8 - Prob. 13PFACh. 7.8 - Prob. 14PFACh. 7.8 - Prob. 15PFACh. 7.8 - Prob. 16PFACh. 7.8 - Prob. 17PFACh. 7.8 - Prob. 18PFACh. 7.9 - Prob. 1AGPCh. 7.9 - Prob. 1BGPCh. 7.9 - Prob. 1CGPCh. 7.9 - Prob. 2AGPCh. 7.9 - Prob. 2BGPCh. 7.9 - Prob. 3GPCh. 7.9 - Prob. 4GPCh. 7.9 - Prob. 1CYUCh. 7.9 - Prob. 2CYUCh. 7.9 - Prob. 3CYUCh. 7.9 - Prob. 4CYUCh. 7.9 - Prob. 5CYUCh. 7.9 - Prob. 6CYUCh. 7.9 - Prob. 7CYUCh. 7.9 - Prob. 8CYUCh. 7.9 - Prob. 9CYUCh. 7.9 - Prob. 10CYUCh. 7.9 - Prob. 11CYUCh. 7.9 - Prob. 12CYUCh. 7.9 - Prob. 13CYUCh. 7.9 - Prob. 14PPSCh. 7.9 - Prob. 15PPSCh. 7.9 - Prob. 16PPSCh. 7.9 - Prob. 17PPSCh. 7.9 - Prob. 18PPSCh. 7.9 - Prob. 19PPSCh. 7.9 - Prob. 20PPSCh. 7.9 - Prob. 21PPSCh. 7.9 - Prob. 22PPSCh. 7.9 - Prob. 23PPSCh. 7.9 - Prob. 24PPSCh. 7.9 - Prob. 25PPSCh. 7.9 - Prob. 26PPSCh. 7.9 - Prob. 27PPSCh. 7.9 - Prob. 28PPSCh. 7.9 - Prob. 29PPSCh. 7.9 - Prob. 30PPSCh. 7.9 - Prob. 31PPSCh. 7.9 - Prob. 32PPSCh. 7.9 - Prob. 33PPSCh. 7.9 - Prob. 34PPSCh. 7.9 - Prob. 35PPSCh. 7.9 - Prob. 36PPSCh. 7.9 - Prob. 37PPSCh. 7.9 - Prob. 38HPCh. 7.9 - Prob. 39HPCh. 7.9 - Prob. 40HPCh. 7.9 - Prob. 41HPCh. 7.9 - Prob. 42HPCh. 7.9 - Prob. 43PFACh. 7.9 - Prob. 44PFACh. 7.9 - Prob. 45PFACh. 7.9 - Prob. 46PFACh. 7.9 - Prob. 47PFACh. 7.9 - Prob. 48PFACh. 7.9 - Prob. 49PFACh. 7.10 - Prob. 1AGPCh. 7.10 - Prob. 1BGPCh. 7.10 - Prob. 2GPCh. 7.10 - Prob. 3GPCh. 7.10 - Prob. 4AGPCh. 7.10 - Prob. 4BGPCh. 7.10 - Prob. 1CYUCh. 7.10 - Prob. 2CYUCh. 7.10 - Prob. 3CYUCh. 7.10 - Prob. 4CYUCh. 7.10 - Prob. 5CYUCh. 7.10 - Prob. 6CYUCh. 7.10 - Prob. 7CYUCh. 7.10 - Prob. 8CYUCh. 7.10 - Prob. 9CYUCh. 7.10 - Prob. 10PPSCh. 7.10 - Prob. 11PPSCh. 7.10 - Prob. 12PPSCh. 7.10 - Prob. 13PPSCh. 7.10 - Prob. 14PPSCh. 7.10 - Prob. 15PPSCh. 7.10 - Prob. 16PPSCh. 7.10 - Prob. 17PPSCh. 7.10 - Prob. 18PPSCh. 7.10 - Prob. 19PPSCh. 7.10 - Prob. 20PPSCh. 7.10 - Prob. 21PPSCh. 7.10 - Prob. 22PPSCh. 7.10 - Prob. 23PPSCh. 7.10 - Prob. 24PPSCh. 7.10 - Prob. 25PPSCh. 7.10 - Prob. 26PPSCh. 7.10 - Prob. 27PPSCh. 7.10 - Prob. 28PPSCh. 7.10 - Prob. 29PPSCh. 7.10 - Prob. 30PPSCh. 7.10 - Prob. 31HPCh. 7.10 - Prob. 32HPCh. 7.10 - Prob. 33HPCh. 7.10 - Prob. 34HPCh. 7.10 - Prob. 35HPCh. 7.10 - Prob. 36PFACh. 7.10 - Prob. 37PFACh. 7.10 - Prob. 38PFACh. 7.10 - Prob. 39PFACh. 7.10 - Prob. 40PFACh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 1PFACh. 7 - Prob. 2PFACh. 7 - Prob. 3PFACh. 7 - Prob. 4PFACh. 7 - Prob. 5PFACh. 7 - Prob. 6PFACh. 7 - Prob. 7PFACh. 7 - Prob. 8PFACh. 7 - Prob. 9PFACh. 7 - Prob. 10PFACh. 7 - Prob. 11PFACh. 7 - Prob. 12PFACh. 7 - Prob. 13PFACh. 7 - Prob. 14PFACh. 7 - Prob. 15PFA

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