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:
[tex]g_n=7(3)^{n-1}[/tex]
We have to find the 24th term of sequence
To find the 24th term of sequence, substitute n = 24 in given formula
[tex]g_{24} = 7(3)^{24-1}[/tex]
Simplify the above expression
[tex]g_{24} = 7 \times (3)^{23}\\\\g_{24} = 7 \times 94143178827\\\\g_{24} = 659002251789[/tex]
Thus 24th term of given sequence is 659002251789
