of the first 100 terms of the sequence: ; 99 Find the sum ak k=0

Q: Determine the number of terms n in each geometric series.

A:

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

Q: Find the first four terms of the sequence given by the following. a, = 42-8(n-1), n=1, 2, 3. %3D n.

A:

Q: Write the first four terms of the sequence whose nth term is an = 2n/(n - 1)!

A: Given the expression for the nth  term of the sequencean = 2n(n-1)!

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, 1.2, 0.36,…

A: Given geometric sequence is 4, 1.2, 0.36, 0.108,… To find the nth term, fifth term and eight term of…

Q: find the fourth and fifth terms of the sequence, (assume n begins with 1) an = 8(-1)"*5) %3D a. 3.

A: The objective is to find the fourth and fifth term of the sequence.

Q: Find a and az for the geometric sequence 6, a2, аз, —162,

A:

Q: List the terms of the sequence below from n = 1 to n = 5

A:

Q: Write the first five terms of the sequence with the given nth term. 4 a, = 5 + n2 a2 = a3 %3D a5

A: Here we have to find the first five terms of sequence.

Q: Find the first four terms of the sequence in which a1 = 5 and an = 3an-1 + 2 for n ≥ 2.

A: Consider the following equation: an=3an-1+2          for n≥2                        ...... 1a1=5…

Q: Find the first five terms of the following sequence, starting with n = = 1. Cn n2 – 3 Give your…

A: Given,

Q: Find a formula for the nth term of the sequence. 3,9, 27, ... = X

A:

Q: Find the first four terms of the sequence given by the following. a= 38-4(n-1), n=1,2, 3... O000

A: Please refer the attached image for complete solution.

Q: For each sequence, find a closed formula for the general term, an. 1. −2,−8,−18,−32,−50,…,an=

A: Given:The given sequence is

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

A: Givensn=(-1)n(n+1)

Q: Find the first three terms and the sixth term of the sequence that has the given nth term. (-1)^ + 1…

A: Answer is given in next step.

Q: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

A:

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: Given the nth-term formula below, compute the first five terms of the sequence: in an = n= 1,2,3,…

A:

Q: calculate the first four terms of the sequence, starting with n = 1. cn=3n/3!

A:

Q: Find the second, fifth, and eleventh terms of the sequence described by the rule. A(n) = - 3+ (n-…

A:

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

A: Obtain the value of the sum as follows.

Q: Find the first four terms of the sequence given by the following  a n=57-8(n-1), n=1,2,3

A:

Q: Find the first four terms of the sequence given by the following. a, = 64-3 (n-1), n=1, 2, 3... olo

A: Solve the given problem.

Q: Write the first five terms of the sequence with the given nth term.                          an =…

A: an=(-14)n The first five terms are from n=1,2,3,4,5Now we put the value of n=1,2,3,4,5

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, =n+5 O 320 O…

A: The general term of an arithmetic sequence is given by formula an = n+5 To evaluate : The sum of…

Q: Find the first four terms of the sequence given by the following. a,=52+4(n-1), n=1, 2, 3...

A:

Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

A:

Q: calculate the first four terms of the sequence, startingwith n = 1.b1 = 1, bn = bn−1 +1/bn−1

A: To find: The first four terms of the sequences. Given: The sequences are b1=1, bn=bn-1+1bn-1.…

Q: Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1

A:

Q: Find a formula for the nth term of the sequence. - 1, 6, 25, 62, 123, .

A:

Q: Find the formula for the nth term of the sequence. 10

A:

Q: Write the first five terms of the sequence with the given nth term

A: Write the first five terms of the sequence with the given nth term

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

A:

Q: Find the first five terms of the following sequence, starting with n = = 1. a, = (-1)"+'(6n² – 1)…

A: Answer and explanation is given below..

Q: In each part, find a formula for the general term of the sequence, starting with n = 1. Enter the…

A: a 1,15 ,125 , 1125,...      a0=1=150      a1=15=151

Q: Write the first three terms in each of the sequence defined by the following: (i) a, = 3n + 2 (ii)a,…

A:

Q: Find the four terms of the sequence given by the following. an = 66 + (n-1)•5 , n = 1, 2, 3

A: We have to find term

Q: Write the first four terms of the sequence whose nth term is given by the formula  an=3n

A:

Q: Find a1 in a geometric sequence where Sn=3045, r=2/5, and an=120

A: topic- geometric sequence

Q: find a formula for this sequence: {-2/25, 7/125, -12/625, 17/3125}

A: Look at newmorator and denominator we can easily get the answer.

Q: Determine the first of the geometric sequence given ag = 93,312.

A: To determine the first of the geometric series given a8=93312

Q: For each sequence, find a closed formula for the general term, an. 0,3,8,15,24,…,an=

A:

Q: Find the indicated term of the sequence whose nth term is given by the formula. an = (-1)" -1(n -…

A: Consider the nth term of the sequence We have to find 26th term of the sequence i.e.

Q: i i=0

A:

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a, = n + 5 273…

A:

Q: term

A: Given the nth term  an = (-1/5)^n To find the first four terms and the 100th term of the sequence

Q: Find the first four terms of the sequence given by the following. a, = 42-8(n-1), n=1, 2, 3...

A: Given sequence is an=42−8n−1, n=1,2,3,...... We have to find the first four terms of the sequence.…