`2 + 4 + 7 + 11 + 16 + ...........` to n terms

2+ 4+ 7 + 11 + 16 + ….. upto n terms is equal to

1/2+3/4+7/8+15/16+..... t o n terms =

Find the sum of indicated number of terms of the following arithmetic progression : 16, 11, 6,..........., n terms, 23 terms.

Prove the following by the method of induction for all n in N : 3 + 7+ 11 +.. to n terms = n(2n + 1).

If S_1 = 3, 7, 11 15, … upto 125 terms and S_2 = 4, 7, 10, 13, 16, … upto 125 terms the how many terms are there in S_1 that are there in S_2 ?

If (5 + 9 + 13 + .... rarr nterms) / (7 + 9 + 11 + ... rarr (n + 1) terms) = (17) / (16), then n =

If S_n = (1)/(6.11) + (1)/(11.16) + (1)/(16.21) + …. to n terms then 6S_n equals

The n^(th) term of the sequence 1/2, 3/4, 7/8, 15/16 is ...................

The sum to n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + ....... is