For each geometric sequence:

MATHEMATICS · Multi-part · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

For each geometric sequence: (i) state

u_1

and

r

; (ii) find the formula for the general term

u_n

; and (iii) find the ninth term of the sequence. (1)

3,6,12,24,\ldots

(2)

2,10,50,\ldots

(3)

512,256,128,\ldots

(4)

1,3,9,27,\ldots

(5)

12,18,27,\ldots

(6)

\frac{1}{16},-\frac{1}{8},\frac{1}{4},-\frac{1}{2},\ldots