List the first five terms of the sequence whose n ,th term is 3" – 2“. Let n = 0, 1, : ...

Q: Find the sixth term of a geometric sequence whose second term is 3 and whose fourth term is 1/3.…

A: Now dividing equation (2) by equation (1), we get Therefore sixth term is,

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

A:

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: Find the limit of the sequence with the given nth term. n + 5

A: Given sequence is an = (n+5)/n

Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

A:

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

A:

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 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 15th term of the following sequence. {64, 16, 4, 1, .}

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

A: Given: a1=9,and an=23an-1 for n≥2. To find: First four terms of the sequence. Solution: a1=9…

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: 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: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

A:

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 nth partial sum of Sequence for the given vale of n. -6,-1,4,9,-., nニ 100

A: Given : Arithmetic sequence -6, -1, 4, 9, ...................   To find : Partial sum of the…

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

A:

Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

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

A:

Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

Q: What is the sum of the first 50 terms of the arithmetic sequence whose first term is a1=8, with…

A: We will find out the required value.

Q: Find the sum of the first 25 terms of the sequence. 46, 8, 10, S25-

A: This question is related to arithmetic progression .

Q: Find the sum of the first 40 terms of the sequence. {1, 6, 11, 16, …}

A: Given sequence is 1, 6, 11, 16, .......

Q: Find the first 5 terms of the sequence defined byan = 10/n .

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: Find the sum of the first 15 terms for the sequence: 7,10, 13, 16, 19,

A: We have 7,10,13,16,19,.........15th termFirst term a=7common Difference d=10-7=3

Q: aj = -1 and an V(- 2an-1)² + 1 for n > 2

A:

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 nth term of a sequence whose first terms are given. −3, 5, 13, 21,...

A: One have to check the difference 5--3=813-5=821-13=8 So the common difference is 8 and the first…

Q: Determine the first five terms of the sequence whose nth term is defined as follow.  ann=(1/2)n-1-8

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

A:

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

A:

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

A:

Q: State the first five terms of the arithmetic sequence tn=5(n)

A: The given nth term of the arithmetic sequence is tn=5(n)

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 413,…

A: The sequence given is: 413, 405, 397 an=a+(n-1)d

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

A:

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 204,…

A: Here given sequence is 204, 200, 196, . . ., which is an A.P. as difference between consecutive…

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: the n^th term of the following sequence 1,4,7,10,...is

A: For given sequence a1 = 1 a2= 4 a2 = a1 + 3

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: We have to find the 46th term of given sequence.

Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

A:

Q: What is the general formula for the nth term of the sequence –4, 1, 8, 17, 28, ...?

A: To determine the general formula for the nth term of the following sequence.  –4, 1, 8, 17, 28, ...…

Q: List the first 5 terms the sequence whose nth term is 3n - 2n

A: Given: 3n-2n

Q: Find the nth term of a sequence whose first several terms are given. 7, 2, –3, –8, ... an

A:

Q: Fi

A: Explanation of the solution is given below...

Q: Find the nth term of a sequence whose first several terms are given. -2, 5, 12, 19, ... an

A: Solve arthimetic progress nth term formula

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

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.