1. Find S15 for the arithmetic sequence {4, 10, 16, ... }

Q: Find the 80th term of the following arithmetic sequence. 6,15,24,33,

A:

Q: Find S,, the sum of first 15 terms of the arithmetic sequence: , 0, – - 1, .... ...

A:

Q: What value, to 2 decimal places, is the 7a term of the geometric sequence that has '2 =15 and 10 =…

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

Q: Find the nth term of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

Q: Find the 76th term of the following arithmetic sequence.  13, 17, 21, 25,

A: I have given an answer in step 2.

Q: 4 Find the infinite sum of the geometric sequence with a = 6, r = - if it exists. %3|

A:

Q: For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

A:

Q: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

A:

Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: Write the explicit form for the nth term of the following geometric sequence.  4,15,45,135…

A:

Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.

A:

Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

A:

Q: Find the 58" term of the following arithmetic sequence. 17, 22, 27, 32, ...

A: Given sequence, 17, 22, 27, 32, ......

Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

A:

Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

A:

Q: Find the 10th element of the following arithmetic sequence, counting 7 as the first. 7,11,15,19,...

A:

Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

A:

Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

A:

Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

A:

Q: 32. Find the 19th term of an arithmetic sequence with aj = -11 and a30 163.

A:

Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1): {5,10,15,20,…}

A: The given arithmetic sequence is

Q: Find the Third,fourth and fifth term of the sequence defined by a1=2,a2=3, and an=(-1)an-1+an-2

A:

Q: Identify whether the following sequence is an arithmetic sequence or geometric sequence 1,3,9,27

A: The detailed solution is given below Thank you

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 6, г a = -

A: The geometric sequence with a=6, r=28

Q: Determine the sum of the first 6 terms of the geometric sequence. 1,2, 4, .. So

A: A geometric progression is a type of sequenc in which ratio of two consecutive terms is always a…

Q: Find the 13th term of the following geometric sequence. 4,8,16,32....

A: Here,

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A:

Q: Find the 14 term of the following geometric sequence. 4, 8, 16, 32, ... O

A: The geometric sequence is given as: 4, 8, 16, 32, …. We need to calculate the 14th term of the…

Q: th Find the 10" term of the following geometric sequence. 4, 20, 100, 500, ...

A:

Q: 6. Write an explicit formula for the geometric sequence 33, 99, 297, 891, ..

A:

Q: Is the following sequence arithmetic, geometric or neither? 2, 10, 50, 250, 1250, 6250

A: Given,         The sequence is 2 , 10 , 50 , 250 , 1250 , 6250 .

Q: For the geometric sequence {4, 16, 64, 256, - . . .. -}, the term a17 O 4.418 O 4.45 O 4.43 4 - 416…

A:

Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

A:

Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

A:

Q: Find the 59th term of the following arithmetic sequence 2,8,14,20

A:

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given: A sequence is arithmetic sequence in which a1=-2, d=14 and S=21. To find the number of terms…

Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: State the formula for the general term of an arithmetic sequence with an initial value of 1/3 and a…

A: Given a=1/3 d=2

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

A:

Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 40, d = -3, n =…

A: Formula to find the sum of arithmetic series helps to find the required sum. Formula to find the…

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

A:

Q: Find the 6th term of a geometric sequence with a 1 = −3 and r= 2.

A: Find the 6th term of a geometric sequence with:

Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

A:

Q: Write the first four terms of the geometric sequence satisfying the following conditions: a, = 2,…

A: In general, The geometric sequence is, a, ar, ar2, ar3,.....    where, a= first term, r=common ratio…

Q: Find the 52nd term of the following arithmetic sequence. 14, 22, 30, 38…

A: Given arithmetic sequence is 14, 22, 30, 38,... Here common difference between two consecutive terms…

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.