Which sequence matches the recursive formula?

an = (an-1)2 + 3, where a1 = 2

A

2, 4, 16, 256, ...

B

2, 7, 17, 37, ...

C

2, 7, 52, 2707, ...

D

2, 25, 784, 6159, ...

a1 = 2
a2 = (a1)^2 + 3 = 2^2 + 3 = 4 + 3 = 7
a3 = (a2)^2 + 3 = 7^2 + 3 = 49 + 3 = 52
a4 = (a3)^2 + 3 = 52^2 + 3 = 2,704 + 3 = 2,707

Option C is the correct answer.

Answer Link

aceatswag123 aceatswag123 · Answer 2 · 2019-03-29T14:34:37-04:00

aceatswag123 aceatswag123

29-03-2019

Answer:

The solution is 2, 7, 52, 2707, .... To find each term in the sequence, you square the previous term and add 3. This sequence is represented by the recursive formula an = (an-1)2 + 3, where a1 = 2.

So It's C.

Step-by-step explanation:

Answer Link

Which sequence matches the recursive formula?an = (an-1)2 + 3, where a1 = 2 A 2, 4, 16, 256, ... B 2, 7, 17, 37, ... C 2, 7, 52, 2707, ... D 2, 25, 784, 6159, ...

Verified Answer :

Related Questions

Which sequence matches the recursive formula?

an = (an-1)2 + 3, where a1 = 2

A

2, 4, 16, 256, ...

B

2, 7, 17, 37, ...

C

2, 7, 52, 2707, ...

D

2, 25, 784, 6159, ...