c) Write the explicit formula for the nth term of the sequence below. 5 3 3, 2, 2' 5' 3 7 4 ....

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

A: SOLUTION-

Q: What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3

A: Remark: The general form of a geometric sequence is a, ar, ar2, ar3, ... where a is the first term…

Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

A:

Q: Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120,…

A: Given sequence is  4/5 , 4 , 20 , 120 Series is Geometric Progression Series has first term as 4/5…

Q: For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

A:

Q: Write an explicit formula for an, the nh term of the sequence 5, –1, –7,.... -

A:

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

A: Given the first few terms continuously of the sequence.

Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, if the nth…

A:

Q: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

A:

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

A:

Q: Write an explicit formula for an, the n'n term of the sequence 1, 5, 25, ... .

A:

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…

A:

Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

Q: Given a sequence defined by the explicit definition: tn = 2" – n, find the 5th term of the sequence.…

A: It is given that,the sequence:tn=2n-n We have to find the 5th term of the sequence.

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 2, 2° + 1,…

A:

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

A: given series :

Q: Determine if the sequence is geometric, If it is, find the common ratio, the 8th term, and the…

A:

Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 1 10' 15' 20' 25' 30

A: We have to find the nth term of the sequence.

Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

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: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

A:

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

A:

Q: The nth term of the following sequence 1,4,7,10,.is A. n В. Зп — 2

A: Solution of the problem as follows

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 8,

A:

Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…

A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

A:

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, V3, 3,…

A: Given : 1,3,3,33,.........

Q: Find the formula an for the n th conditions: a₁ = term of the geometric sequence satisfying the…

A:

Q: 2" An 2n+1

A:

Q: 9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а,…

A:

Q: Please propose a formula for the elements of the following sequence a, which begins: 1, 3, 5, 7, .

A:

Q: Given the geometric sequence: 2, 6, 18, 54, 112, . What is the common ratio and what is the 13th…

A:

Q: 5 7 9 11 13 1'2'6'24'120'

A: We need fond the pattern here

Q: c) Write the explicit formula for the nth term of the sequence below. d) Prove that mathematical…

A:

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 12 1 2 6 24…

A:

Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

A:

Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

A:

Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

Q: Given the following sequence, provide the (unsimplified) sum of the first 14 terms: -6, 12,-24, 48,…

A:

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2,…

A:

Q: The general term for the sequence , . is: 3n n+1 3n 3+2 n+3 n+1

A: Given:     To determine: The general term of the given sequence.

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 1 3 5 7 1'…

A:

Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 1· 2 1.2.3…

A: Let Tn be the nth term. Examine the numerator of T1 = 1.2; that of T2 = 1.2.3; that of T3 = 1.2.3.4…

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 6,

A:

Q: Find the missing terms in the following geometric sequence, and state the common ratio 8, 1/2 O 4,…

A:

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.