Sequences and Series
If a boy bats 100 times and gets 40 hits, what is his batting average ?
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Write the first five terms of the sequence whose nthterms are : an=(−1)n−15n+1
If the 4th, 10thand 16thterms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.
How many terms of G.P. 3,32,33,˙˙˙are needed to give the sum 120?
Find the 20thterm from the last term of the AP : 3, 8, 13, . . , 253.
The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.
If S1,S2,S3are the sum of first n natural numbers, their squares and their cubes, respectively, show that 9S22=S3(1+8S1).
If a (b1+c1), b(c1+a1), c(a1+b1)
are in A.P. prove that a, b, c
are in A.P.
Find the sum of all two digit numbers which when divided by 4, yields 1 as remainder.