Chapter 7.9, Problem 26PPS

To determine

To find the 8^th term of the given geometric sequence.

Answer to Problem 26PPS

8^th term of the sequence is 4,782,969.

Explanation of Solution

Given:

First term of the geometric sequence is 1 and common ratio is 9.

Concept used:

The n^th term of a geometric sequence with first term ‘a’ and common ratio ‘r’ is

  $a_n=a{r}^{n-1}$

Calculation:

Given,

  $a=1\&r=9$

Now the 8^th term is,

  $\begin{array}{l}{a}_8=a{r}^7\\ \Rightarrow a_8=1{\left(9\right)}^7\\ \Rightarrow a_8=4,782,969\end{array}$