Question

Find the 10th and the nth term of the list of number of gp 5,25,125........

Answer 1

a = 5 , r = 5

Sn = a (r^n - 1)/r-1
S10 = 5 ( 5 ^ 10 - 1 ) / 5 - 1
S10 = 5 ( 9,765,625 - 1 ) / 4
S10 = 5 ( 9,765,624 ) / 4
S10 = 48,828,120 / 4
S10 = 12,207,030......Ans....

Sn = a ( r^n - 1 ) / r - 1
Sn = 5 ( 5^n - 1 ) 5 - 1
Sn = 25^n - 5 / 4.......Ans.......

Answer 2

$here \: {5}^{n} formula \: is \: use \\ so10th \: term \: is {5}^{10} = 9765625 \\ and \: nth \: term \: is \: {5}^{n}$