`" Let "a_(n)=(10^(n))/(n!)" for "n=1,2,3,..." Then the greatest value of "n" for which "a_(n)" is the greatest is."`

Let a_(n)=(1000^(n))/(n!) for n in N, then a_(n) is greatest,when

Let a_(n)=(827^(n))/(n!) for n in N , then a_(n) is greatest when

Let A_(1), A_(2), A_(3), ........ be squares such that for each n ge 1 , the length of the side of A_(n) equals the length of diagonal of A_(n+1) . If the length of A_(1) is 12 cm, then the smallest value of n for which area of A_(n) is less than one, is ______.

Let A_(1), A_(2), A_(3),….., A_(n) be squares such that for each n ge 1 the length of a side of A _(n) equals the length of a diagonal of A _(n+1). If the side of A_(1) be 20 units then the smallest value of 'n' for wheich area of A_(n) is less than 1.

Let a_(n) = (1+1/n)^(n) . Then for each n in N

If a_(n+1)=(1)/(1-a_(n)) for n>=1 and a_(3)=a_(1) then find the value of (a_(2001))^(2001)

Let A_(1)=1998^(1998) and for n>1. let A_(n) denote the sum of A_(n-1). Find A_(8).