If the set of natural numbers is partitioned into subsets `S_1={1},S_2={2,3},S_3={4,5,6}` and so on then find the sum of the terms in `S_(50)dot`

If S={0,1,4,5,7}then the number of subsets of S is

If the sum of first n terms of G.P. is S and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S.

If S is the set of all real numbers x for which (2x-1)/(2x^3+3x^2+x) gt 0 , and P is the subset of S, then then P can be

If the realtion R defined as the set S = {1.-2, 3, 4},, AA,a,b in s,aRb, if and- only if b is the double of a. Find the set R.

Let S={0,1,5,4,7} , number of subsets of S is 32QQ , then find the value of QQ.

Consider the sequence of natural numbers S_0,S_1,S_2 ,... such that S_0 =3, S_1 = 3 and S_n = 3 + S_(n-1) S_(n-2) , then

The parabolas y^2=4xa n dx^2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S_1,S_2,S_3 are the areas of these parts numbered from top to bottom, respectively, then (a) S_1: S_2-=1:1 (b) S_2: S_3-=1:2 S_1: S_3-=1:1 (d) S_1:(S_1+S_2)=1:2

The parabolas y^2=4xa n dx^2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S_1,S_2,S_3 are the areas of these parts numbered from top to bottom, respectively, then S_1: S_2-=1:1 (b) S_2: S_3-=1:2 S_1: S_3-=1:1 (d) S_1:(S_1+S_2)=1:2

Let S_n denote the sum of first n terms of an A.P. If S_(2n)=3S_n , then find the ratio S_(3n)//S_ndot

A set of numbers consisting of three 4's, five 5's, six 6's, eight 8's and seven 10's. The mode of this set of numbers is