Consider a geometric sequence where the first term is 768 and the second term is 576.

Question

6. Consider a geometric sequence where the first term is 768 and the second term is 576.
Find the least value of n such that the nth term of the sequence is less than 7.

Answer 1

The first sentence gives you sufficient information to calculate r. (First term is a, second term is ar.)

The nth term is ar^n-1; set that to 7 and solve for integer n. Round down if necessary.

Check your work.