Let `S_n=sum_(k=1)^n k` denote the sum of the first n positive integers. The numbers `S_1,S_2,....S_99` are written on 99 cards. The probability of drawing a cards with an even number written on it is

Let S_(n)=sum_(k=1)^(n)k denote the sum of the first n positive integers. The numbers S_(1),S_(2),S_(3),……S_(99) are written on 99 cards. The probability of drawing a card with an even number written on it is -

(A) 3MS 28 Lets,- kdenote the sum of the first n postive integers. The numbers S, of digits in n- (A) 1 on 99 cards. The probability of drawing a cards with an even number written on it is [KVPY-2012, SB 2 48 The largest pert 49 (B) 100 49 0 (A) 1

If S_(k) denotes the sum of first k terms of a G.P. Then, S_(n),S_(2n)-S_(n),S_(3n)-S_(2n) are in

If S_(k) denotes the sum of first k terms of a G.P. Then, S_(n),S_(2n)-S_(n),S_(3n)-S_(2n) are in

If S_(n) denotes the sum of first 'n' natural numbers then S_(1)+S_(2)x+S_(3)x^(2)+........+S_(n)*x then n is

If S_n denotes the sum of first n natural number then S_1 + S_2x + S_3 x^2 +……+S_n x^(n-1) + ……oo terms =

If S_n denotes the sum of first n natural number then S_1 + S_2x + S_3 x^2 +……+S_n x^(n-1) + ……oo terms =

If S_(n) denotes the sum of first 'n' natural numbers then S_(1)+S_(2)x+S_(3)x^(2)+........+S_(n)*x^(n-1)+.. then n is