Question

Find g24. gn=7(3)^n-1. The sequence is 7,21,63,189...

Answer 1

24th term of given sequence 7, 21, 63, 189, ..... is 659002251789

Solution:

The sequence given is:

7, 21, 63, 189, .....

Also given that, nth term of sequence can be found by:

`g_n=7(3)^(n-1)`

We have to find the 24th term of sequence

To find the 24th term of sequence, substitute n = 24 in given formula

`g_(24) = 7(3)^(24-1)`

Simplify the above expression

`g_(24) = 7 * (3)^(23)\\\\g_(24) = 7 * 94143178827\\\\g_(24) = 659002251789`

Thus 24th term of given sequence is 659002251789