Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 144,108,81... *

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

A: I have given an answer in step 2.

Q: Find the 81st term of the arithmetic sequence 24, 11, -2, ...

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Q: Determine if the sequence is arithmetic. If it is, find the common difference. 4, 7, 10, 13, ...

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Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

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Q: Find the indicated term of the geometric sequence. 2,6, 18, ...; a7

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Q: Determine whether the sequence is arithmetic or geometric.1, -3, 9, -27, 81, . . .____________

A: we have to determine whether the given sequence is arithmetic or geometric. 1, -3, 9, -27, 81, . .…

Q: determine whether the sequence is geometric. If so, find the value of r 3, 9, 36, 180, …

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Q: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

Q: Find the 97th term of the arithmetic sequence 17, 26, 35, ...17,26,35,...

A: The given arithmetic sequence is  17,  26,  35............. The first term a = 17 Difference d =…

Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

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

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

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Refer to image below.

Q: Determine if the sequence is arithmetic. If it is, find the common difference. 35, 32, 29, 26, ...

A: The detailed solution is given below Thank you

Q: Find the 70 term of the following arithmetic sequence. 5, 13, 21, 29,...

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Q: Find the 86th term of the arithmetic sequence 16, 18, 20, ...

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Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

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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 the indicated term of the geometric sequence. 6, -4,.; ...; a7 3 a7 =

A: Consider the geometric sequence 6, −4, 8/3, ⋯

Q: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r.

A: Geometric sequence: -A geometric sequence is a pattern in which the next term is discovered by…

Q: Find the indicated term of the arithmetic sequence. 5 3' 1, - 1 ...; a25

A: First-term = a1 = -5/3

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 3n + 4

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Q: Find the nth term of a sequence whose first several terms are given. 3, 16' 25 an

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Q: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: Find the infinite sum of the geometric sequence with a =2 r=2/6 if it exist

A: The geometric sequence with a =2, common ratio r=2/6

Q: If the common difference of an arithmetic sequence is 4 and a(6 ) = 15, find the first term of the…

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Q: Determine if the sequence is geometric. If it is, find the common ratio. 1) -1, 6, –36, 216, ... 2)…

A: Geometric series when common ratios of consecutive numbers are equal

Q: Find the sum of the first 97 terms of the arithmetic sequence: 0, -4, –8, –12,-16,... Answer:

A: It is given that,the arithmetic sequence:    0,-4,-8,-12,-16,...... We have to find sum of first 97…

Q: find the nth term an of a sequence whose first four terms are given.  -1,4,-9,16...................

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Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: Find the 13th term of the geometric sequence 7, 21,63, ...

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Q: Determine whether the sequence is arithmetic or geometric.-1, 1, 3, 5, 7, . . ._______________

A: The given sequence is,  -1, 1, 3, 5, 7,…… A sequence will be said to be in arithmetic progression if…

Q: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

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

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Q: Find the number of terms in the geometric sequence 16, 8, 4, 2, ... , 16

A: The nth term of the GP with a as the first term, r as the common ratio is given by, an=arn-1

Q: Find the missing term of the geometric sequence. 1 ,16 4,

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Q: Determine whether the sequence is arithmetic. If so, find the common difference. 5, 25, 125, 625,…

A: To Determine: Determine whether the sequence is arithmetic. If so, find the common difference. 5,…

Q: Write the recursive formula for each sequence. 8) 1, 6, 36, 216, 1296, .. 9) 22, 52, 82, 112, 142,…

A: The given sequence 8) 1,6,36,216,1296,.....9) 22,52,82,112,142,.....

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: State whether each sequence is arithmetic or geometric. 1. 10, 4,-2,-8,... 2. 3,6, 12,24. 3.…

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Q: The missing term of the arithmetic sequence, 31, [ ], 47

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Q: Determine if the sequence is arithmetic. If it is, find the common difference. 1) −30, −40, −50,…

A: (a) Consider the given sequence as, -30, -40, -50, -60,...

Q: Find the 40th term of the arithmetic sequence with a, = 150 and a common difference of d= -4. 1. -6…

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Q: 97,71,45,...

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Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…