Question

1.

Find the first, fourth, and eighth terms of the sequence. A(n) = –2 • 2^n–1


A. –4; –32; –512

B. 1; –64; –16,384

C. –8; –64; –1,024

D. –2; –16; –256

Answer 1

D

Explanation:

given that

A(n)=-2•2^(n-1)

n->represent the terms

A(1)=-2•2^(1-1)=>-2•2^0

A(1)=-2•1=-2

For the fourth term

A(4)=-2•2^(4-1)

A(4)=-2•2^(3)

A(4)=-16

for the 8th term

A(8)=-2•2^(8-1)

A(8)=-2•2^(7)

A(8)=-256

Therefore first, fourth and eight => -2;-16;-256