GATE | GATE-CS-2015 (Set 1) | Question 65

(A) 0.99
(B) 1
(C) 99
(D) 0.9


Answer: (A)

Explanation:

S  = 1/1*2 + 1/2*3 + 1/3*4 + ..... + 1/99*100
   = (1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + .... + (1/99 - 1/100)
   = (1 + 1/2 + 1/3 .... 1/99) - (1/2 + 1/3 + 1/4 ... 1/100)
   = 1 - 1/100
   = 99/100
   = 0.99

Quiz of this Question

My Personal Notes arrow_drop_up

Save