Find the n-th term and the first three terms of the arithmetic sequence having a4 = 93 and a8 = 65.

Q: Find a formula for the general term an of the sequence (starting with a1):…

A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…

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

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: Find the nth term of the geometric sequence whose initial term is a1=6.5 and common ratio is 8

A: The geometric sequence whose initial term is a1=6.5 and common ratio is 8

Q: Find a formula for the nth term of the geometric sequence. 16, 8, 4, ...

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (-1)"

A: general term  an = (-1)n

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: The given sequence is {6, 9, 12, 15, 18, …}.

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

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Q: Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

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Q: Find the 11 term of the following geometric sequence. 3, 6, 12, 24, ...

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Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

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

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Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: (-1)n+1-(0.1)n

Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A:

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 sum of the first 3 terms in the geometric sequence with this first term and common ratio: a…

A:

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: The formula to find the nth term of geometric sequence is an=a1·rn-1. where, an is the nth term, a1…

Q: , 256 Find the missing terms from the following geometric sequence: 4,

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Q: Find a formula for the general term an of the sequence, starting with a1.{3,−3,3,−3,…}.

A: Given sequence is,

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

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/2n…

A: Consider the following equation: an=-1n2n+1                    ...... 1 Substitute n=1 in the…

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1)…

A: a1=7a2=10d=a2-a1=10-7=3

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A:

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: To find the fifth term and nth term of the sequence whose first term and the common ratio is given.

Q: Find the first three terms and the 10th term of the sequence given by an = n/(n +1 ).

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Q: 1. Find the 12 th term of an arithmetic sequence with a =-11 and a30 = 105

A: we have to solve the problem

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: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: both questions

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Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

Q: Find the nth term of the geometric sequence whose initial term is a1 = 4.5 and common ratio is 6. an…

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Q: Find the infinite sum of the geometric sequence with 3 if it exists. a = 2, r =

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Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…

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Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Sequence is a list of numbers having a definite pattern and is denoted by

Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A:

Q: Find the 9th term of the following geometric sequence. 1, 5, 25, 125, ...

A: The nth term of a geometric sequence is an=arn-1 where r is the common ratio and a is the first…

Q: Find the 10th term of the geometric sequence in which a 1 =1 and r = 2.5

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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: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Given the series -5,103,-209,4027,-8081,..... To find : The formula for general term an of the…

Q: Find a formula for the general term an of  the sequence,assuming that the pattern of the first few…

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Q: Find the first four terms of the sequence defined by a, = 3 a, = 3a, -1 +2, for all n > 1

A: Given : a1=3an=3an-1+2

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A:

Q: find the explicit formula for the general nth term of the geometric sequence…

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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.