Sequences and Series
What will be the average of even numbers between 11 and 63
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Given a G.P. with a = 729 and 7thterm 64, determine S7.
If pth, qth, rthand sthterms of an A.P. are in G.P. then show that(p−q), (q−r), (r−s)are also in G.P.
An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.
If the sum of n terms of an A.P. is nP+21n(n−1)Q,where P and Q are constants, find the common difference.
Find the sum of the first n terms of the series : 3+7+13+21+31+˙˙˙
Find the sum to n terms of the series :1×21+2×31+3×41+˙˙˙
If A.M. and GM. of two positive numbers a and b are 10 and 8, respectively find the numbers.
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.