Given that k-5, k+7, k+55 are three consecutive terms in a geometric sequence, solve for k

Step-by-step explanation:

Given:

Consecutive Terms:  k-5, k+7, k+55

Required:

Determine the value of k

To do this, we make use of the concept of common ratio.

The common ratio (r) of a geometric sequence is:

In other words:

Where 1, 2 and 3 represents the terms of the progression/sequence

So:

becomes

Cross Multiply:

Open Brackets

Collect Like Terms

Solve for k

168

step-by-step explanation:

i am pretty sure that the answer is 168