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, ...

Question

Mathematics

Christina Miranda

Today, 19:58

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, ...

+4

Answers (1)

Know the Answer?

Dyer · Answer 1

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.

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

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, ...