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_(n)=(10^(n))/(n!) for n=1,2,3, Then the greatest value of n for which a_(n) is the greatest is: (A) 11 (B) 20 (C) 10 (D) 8

" 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 f(n)=10^(n)+3.4^(n+2)+5,n in N. The greatest value of the integer which divides f(n) for all n is :

For each positive integer n, let j y_(n) =1/n ((n +1) (n +2) …(n +n) )^(1/n). For x in R, let [x] be the greatest integer less than or equal to x, If lim _( n to oo) y_(n) =L, then the value of [L] is "_________."

Let a_n , n ge 1 , be an arithmetic progression with first term 2 and common difference 4. Let M_n be the average of the first n terms. Then the sum_(n=1)^10 M_n is

Let the sequence a_n be defined as follows : a_1=1,""""a_n=a_(n-1)+2 for ngeq2 . Find first five terms and write corresponding series.

Let a_(0)=2,a_1=5 and for n ge 2, a_n=5a_(n-1)-6a_(n-2) , then prove by induction that a_(n)=2^(n)+3^(n), forall n ge 0 , n in N .