Find the 20th term of the sequence s, = (-1)"(n + 1).

Q: Find the 12th term of the geometric sequence 1, –4, 16, ...

A: Given  Geometric sequence   1,-4,16..... To do find the 12th term of the given sequence.

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

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Q: Find the first 6 terms of the sequence. 1. a, =n'+4

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: List the first 10 terms of the sequence whose nth term is 3 raise to n − 2 raise to n.

A: Given  Sn=3n-2n

Q: find a formula for the nth term of the sequence. 1, -1/4,1/9, -1/16,1/25, ...

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Q: Find the sum of the first 14 terms of the geometric sequence: -1/24, 1/12, -1/6, 1/3 , . . . .

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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: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: Find two different explicit formulas for the sequence{ -1, 1, -1, 1, -1, 1, ⋅ ⋅ ⋅}.

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: Find the first four terms in the sequence with the nth term 6n−2

A: Given the nth term=6n-2 We have to find a1,a2,a3 and a4

Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.…

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Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

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Q: find a formula for the nth term of the sequence. -3, -2, -1, 0, 1,...

A: Arithmetic progression: If in a sequence, the difference of any two successive terms is a constant…

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: Find the sum of the first 8 terms of the sequence defined by a, = 4- 3"-1

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Q: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 7 a = 4, r = -

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Q: Find the 5th term of the geometric sequence: – 5, – 30, – 180, ... - - Round to 1 decimal place if…

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Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: Evaluate the series for the sequence:

A: Given,        5, - 10, 20, - 40, . . .  and       n = 17

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

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Q: Find the sum of the first five terms of geometric sequence. a1 = 6.324, r = 2.598

A: Given, geometric sequence with a1 = 6.324, r = 2.598

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

A: The given geometric series is: -32, 3, -6, 12,....  The first term of this series is a=-32 and the…

Q: Find the first four terms and the eighth term of the sequence.{12 - 3n}

A: Find the first four terms and the eighth term of the sequence.{12 - 3n} Given, an=12-3n To find a1,…

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: Find the first four terms and the eighth term of the sequence.

A: Given that, an=-1n+1+0.1n-1

Q: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

Q: Write the first four terms of sequence whose general term is given.

A: Substitution of the values into the given general form of the sequence helps to find the required…

Q: find a formula for the nth term of the sequence. 1, 5, 9, 13, 17,...

A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with

Q: Write the first five terms of the sequence with the given nth term. = sinl an a a3 as

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

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Q: Find the 7th term of the geometric sequence 2, -6, 18, ...

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

A: Given:                  ...(1) To find the terms of the sequence, Plug n=0 in the equation (1) we…

Q: Write the first four terms of sequence whose nth term is given by the formula an = n - 4 over n…

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Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

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 a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: Find the first four terms and the eighth term of the sequence.

A: The given sequence is 2+-0.1n.

Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: Determine the first five terms of the sequence whose general term is given. {an} = {(- 1)n * 1,²}

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Q: Find the sum of the first 50 terms of the sequence: -2, 0, 2, 4, . . . .

A: -2, 0, 2, 4, ...... It is an arithmetic sequence with, First term=a=-2Common difference=d=2

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

A: This question can be solve by airthmatic sum formula.

Q: List the first four terms and the tenth term of sequence:

A: Given, nn+1

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: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

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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.