Consider a sequence where the nth term, tn=n/(n+2), n = 1, 2, .... The value of t3 x t4 x t5 x ....... x t53 equals

Consider a sequence where the n^th term, t_n=n/(n+2), n = 1, 2, .... The value of t₃ x t₄ x t₅ x ....... x t₅₃ equals

A.
2/495
B.
2/477
C.
12/55
D.
1/1485
E.
1/2970

Correct Answer : A

Realated Questions

Ashish is given Rs. 158 in one rupee denominations. He has been asked to allocate them into a number of bags such that any amount required between Re. 1 and Rs. 158 can be given by handing out a certain number of bags without opening them. What is the minimum number of bags required?
For a Fibonacci sequence, from the third term onwards, each term in the sequence is the sum of the previous two terms in that sequence. The difference in squares of seventh and sixth terms of this sequence is 517. What is the tenth term of this sequence ?
For a scholarship, almost n candidates out of 2n - 1 can be selected. If the number of different ways of selection of atleast one candidate is 63, the maximum number of candidates that can be selected for the scholarship is :