In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3 O 27 9.

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: In geometric sequence a1, a2,, an, if az 720 and a5 25920, then the common ratio is %D O 36 O 5 O…

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Q: Given two terms in a geometric sequence find the common ratio, the explicit formula, and the…

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Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: If the 3rd and 13th terms of an arithmetic sequence of numbers are 7 and 27, respectively, then the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Given the first term and the common ratio of a geometric sequence find the first five terms and the…

A: We can find the answers using the properties of geometric progression as below

Q: Which of these represents the sequence: 36, 30, 24, 18, ...? O an 36+6n O an = 36 – 6n O an = 42 –…

A: The expression for the nth term of arithmetic sequence is: an=a1+n-1d Where; a1 is the first term, n…

Q: show that each sequence is geometric. Then find the common ratio and write out the first four terms.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: In geometric sequence a1, a2,, an , if a2 = 44 and a4 = 176, then the common ratio is O 8 1 4 3. O 2

A: Given that in a geometric sequence  a2  = 44 And  a4 = 176  We need to find common ratio . As we…

Q: Given a Fibonacci sequence, evaluate the sum of 1/ (an 1 x an+1) from 2 to infinity. А. О В. -1/2 C.…

A: We have to find the sum of series.

Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find:

A: Given: ∑i=150 4i-25 The sequence is ∑i=150 4i-25=-21,-17,-13, -9.........upto 50th term

Q: In a geometric sequence t, = 625, and the common ratio is r = For what value of 1s t %3D 25

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Q: In a geometric sequence, if as = 15625, az = 390625 then the common ratio is a. 5 b. 8 C. 25 d.…

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Q: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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Q: In geometric sequence the common ratio is denoted by RO

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Q: In the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, ...}, what is the value of Fg ? D F = 21 OF = 34 D F…

A: Given : Fibonacci Sequence 0,1,1,2,3,5,8,..To find :F8

Q: If a2 = 35 and a4 :875, then the common ratio of the geometric sequence is 12 4 O O O

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Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: E. In a sequence: a = 3, az = 7, and a, 2a,-1 + a,-2 for n2 3. %3D (12) Find az. (13) Find a4.

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Q: If a2 = 18 and a4 = 162, then the common ratio of the geometric sequence is O 11 3

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Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

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Q: In a geometric sequence ag =4, r=? Find ag,

A: Given: A geometric sequence with a1 = 4, r = (-3/2) To find: a8 (8th term) Concept Used: The formula…

Q: D. Given the specified terms of geometric sequence, find the first term and the common ratio, 1. az…

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Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Topic- sequence and series

Q: Given the geometric sequence: 40 320 a1 = 5, a2 , a3 = ... 81 ' find a formula for the nth term: An…

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Q: 14. In a sequence of three squares, the second and third squares are symmetrically in- scribed…

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Q: In a sequence of numbers, az3 = 0, a4 = 4, a5 = 8, a6 = 12, and a7 = 16. Based on this information,…

A: According to the given condition a3=0, substitute 3 for n in all the equations.

Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first…

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Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

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Q: In geometric sequence a1, a2, , an , if a5 3328 and a7 53248, then the common ratio is %3D 3 O 4 O…

A: In the GP Find the common ratio of. The GP Fifth and seventh term are given

Q: a = 5, a,+1=-3a,

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Q: + 2". Find The sequence {a, } is given by the formula a, = [2n] + a) ao = b) a1 = c) az = d) az =

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: a =-128, r=-2 Find a,

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Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

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Q: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: In geometric sequence a1, a2, · ·… · , an , if az = 686 and ag = 33614, then the common ratio is O…

A: Given a1,a2,a3…,an is geometric sequence.  To find the common ratio if a3=686 and a5=33614.…

Q: In geometric sequence a1, a2, · -, an , if az = 416 and a5 6656, then the common ratio is O 64 O 4 O…

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Q: n-1 a =2 .

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Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: If a2 = 10 and a4 = 40, then the common ratio of the geometric sequence IS O 1 O2 3. O10 04

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Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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Q: Is the sequence geometric? If so, identify the common ratio. 3, 12, 48, 192, .. A. yes; -4 B. yes; 4…

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Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

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Q: Given the formula for the term to -n arithmetic sequence is U, = 4n – 5. The sum of the first 12…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.