(Q). Find the number of trailing zeros in (5²⁰)!.
Solution:- Number of trailing zeros =
= 5¹⁹ + 5¹⁸ + 5¹⁷ + ……….. + 5 + 1
now this is a G.P. series & we know that the sum of the G.P. is =
(Q). Find the number of trailing zeros in (5²⁰)!.
Solution:- Number of trailing zeros =
= 5¹⁹ + 5¹⁸ + 5¹⁷ + ……….. + 5 + 1
now this is a G.P. series & we know that the sum of the G.P. is =