help please and thank you

Question

The First Three Terms Of A Sequence Are Given. Round To The Nearest Thousandth (If Necessary).5, 6, 36/5, ...Find The 9th Term.

Answer 1

This sequence is referred to as a geometric sequence.

The first term is 5

The second term is 5 x (6/5)

The third term is 5 x (6/5) x (6/5) = 5 x (6/5)²

The fourth term will be 5 x (6/5)³

…

The n-th term will be 5 x (6/5)^n-1

…

The 9th term will then be 5 x (6/5)⁸ ≈ 21.499