Question

Given are the first three terms of a sequence that is either arithmetic or geometric. If the sequence is arithmetic, find a1 and d. If a sequence is geometric, find a1 and r. 1/6,1/12,1/24

Answer 1

a1 = 1/6

r = 1/2

Explanation:

Given the sequence

1/6,1/12,1/24

The sequence is a geometric sequence since they have a common ratio

r = 1/12÷1/6 = 1/24 ÷ 1/12

r = 1/12 * 6/1 = 1/24 * 12/1

r = 1/2

Since a1 is the first term, hence a1 is 1/6 and common ratio r is 1/2