The greatest value on n so that `1 + 5 +5^(2) + 5^(3) + …. N` terms is less than 4321 is

The least value of n so that ""^(n) C_(5) + ""^(n ) C_(6) gt ( n +1 ) C_(5) is

1 . 3+3 . 5+5 . 7+.. . . to n terms =

Let n in N and [x] denote the greatest integer less than or equal to x. If the sum of (n + 1) terms ""^(n) C_(0) , 3 .""^(n)C_(1) , 5. :""^(n) C_(2) , & .""^(n)C_(3) is equal to 2 ^(100) . 101 then 2 [(n-1)/(2)] is equal to _________

If S_(n) = 5n^(2) + 3n, then 2^(nd) term is …………… .

The sum of n terms of AP is 3n^(2)+5n. and its nth term is 164. find the value of n.

Let A={1,2,3} and B={x : x in N ,x is prime less than 5}. Find AxxB