Question

The first three terms of a sequence are given. Round to the nearest thousandth (ifnecessary).15, 18, 108/5. find the 8th term

Answer 1

The following is a geometric series

We will use the formula

`T_n=ar^(n-1)`

Where Tn is the nth term of the series,

n is the number of terms = 8,

a is the first term = 15

And r is the common ratio = 1.2 (to find r, divide the second term, 18 by the first term which is 15

Now let's solve

`\begin{gathered} T_n=ar^(n-1) \\ T_8=15*1.2^(8-1) \\ T_8=15*1.2^7 \\ T_8=15*3.583 \\ T_8=53.748 \end{gathered}`

So the 8th term = 53.748