Chapter 7, Problem 10CR

To determine

To find the 7^th term of the given sequence.

Answer to Problem 10CR

The 7^th term of the given sequence is 53,248.

Explanation of Solution

Given:

  $13,52,208,832,\mathrm{.......}$

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:

  $13,52,208,832,\mathrm{.......}$

Given sequence is a geometric sequence with

  $a=13,r=\frac{52}{13}=4$

Therefore 7^th term is

  $a_7=a{r}^6=13{\left(4\right)}^6=13\left(4096\right)=53,248$