For the sequence a, = 1+(- 1)", its first term is its second term is its third term is its fourth term is its 100th term is

Q: find the nth term an of a sequence whose first four terms are given. 1, −8, 27, −64, …

A: Given the first four term of the sequence1,-8,27,-64.

Q: An arithmetic sequence has a its 5 th term equal to 22 and its 15 th term equal to 62. Find its 100…

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Q: Find the nth term of a sequence whose first several terms are given. 6, 12, 18, 24, . .

A: Given Seies, 6,12,18,24.........

Q: Find the first 6 terms of the sequence with first term8 and nth term an = an-1 + 3.

A: Arithmetic Sequence :                                          An arithmetic sequence is a…

Q: Find the first 4 terms of the sequence with first term5 and nth term an = an-1 - 2.

A: Given: The first term of the sequence, a1 =5 And the nth term,…

Q: Find the sum of the first 40 terms of the arithmetic sequence whose first term is −15 and whose…

A: Given,         The sum of the first 40 terms of the arithmetic sequence whose first term is −15 and…

Q: Give the first three terms of each sequence based on the given a1=4,         r=-2         _____,…

A: To find the first three terms of each sequence

Q: a,=(- 1)" is a divergent sequence

A:

Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: For the sequence an = an-1+ an-2 and a1 = 3, a2 = 4, its first term is its second term is its third…

A: The sequence an=an-1+an-2 and a1=3, a2=4

Q: Find the 38th term of a sequence where the 15th term is 0 and the common difference is 1.

A: see below the answer  here we have use the sequence  as arithmetic sequence

Q: For the sequence an = 13 + ( – 1)", its first term is its second term is its third term is its…

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

A:

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

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

A: To find first four terms and seventh term of sequence .

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

A: We have the given expression as 4+(0.1)n   We have to find   First four terms and eight term

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

A:

Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

A:

Q: for the sequence a^n = 2(a^n -1 -2) and a1 = 4 its first term is _______ its second term is…

A: given sequence an = 2(an -1 -2) and a1 = 4 is a recursive relation.

Q: explicity. 3) Write out the first three terms of the sequence 3+2n

A:

Q: For the sequence an 2(an-1-2) and a1 = 2, its first term is its second term is its third term is its…

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Q: Find the first five terms of the recursively defined infinite sequence.

A: Consider the given information a1=2, ak+1=3ak-5. Obtain the first five terms of the sequence as…

Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

A:

Q: Find the first six terms of the sequence. a1 = -3, an = an-1 + 8 %3D

A:

Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: Find the 10th term of the geometric sequence. aj1 = -5, r = - %3D %3D 10th term:

A: →nth term any geometric sequence is given by,                            an = a1 rn-1 , Where a1  is…

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

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

A: nth term is given.

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: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24

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

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

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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

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Q: Find the first five terms of the recursively defined infinite sequence.

A: Find the first five terms of the recursively defined infinite sequence.

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: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is its second term is its third…

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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 first five terms of the infinite sequence whose nth term is given. an = 3n - 1 %3D

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Q: For the sequence an = an -1+ an-2 4, az = 5, its first term is its second term is its third term is…

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Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

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Q: (2п)! An

A:

Q: Find the fifth term in the sequence that is defined as follows: an = 4 + (-1)" Enter

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Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

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Q: For the sequence an = ат — 1 + аm — 2 and - - 3, а2 4, a1 || its first term is its second term is…

A: Given   an = an-1+ an-2  a1= 3, a2= 4  Find  1) first term 2) second term  3) third term  4) fourth…

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.