Question

Determine if the sequence is arithmetic or geometric. Then identify the next term in the sequence 0.2, 1, 5, 25,…

A. geometric; 75
B. arithmetic; 75
C. geometric; 125
D. arithmetic; 125

Answer 1

C. Geometric 125

0.2, 1, 5, 25, 125

Answer 2

C. geometric; 125

Explanation:

first term(a) = 0.2

common ratio (r) = 1 / 0.2 = 5

now

Tn = ar^ n -1

t5 = 0.2 * 5^ 4

= 125

hope it helps :)