A geometric sequence is shown below: 66 a0, - 11, 22, 56 a1, 88, - 176. A) What is the common ratio for this geometric sequence? 69 a2 B) What are the missing terms in the geometric sequence shown above?

Step-by-step explanation:

Given a geometric sequence as

66 a0, - 11, 22, 56 a1, 88, - 176

We have to find the common ratio and also the missing numbers.

A geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Hence by comparing two consecutive numbers let us find common ratio.

Consider 88 and - 176. - 176 = 88 (-2) Hence common ratio is - 2

a0 = - 11/-2 = 5.5

a1 = 88/-2 = - 44

Missing terms are - 132 and 5.5

common ratio = - 2