Sequences and Series
The value of p if ,the mean of 23,25,p is 24
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such that a3+b3=2,
then show that a+b≤2.
Find the sum of the series
are in A.P., then prove that the following are also in A.P.
Prove that a sequence in an A.P., if the sum of its n
terms is of the form An2+Bn,whereA,B
Find the sum to n
terms of the series 3/(12×22)+5/(22×32)+7/(32×42)+˙
are in A.P. and x,2,andz
are in G.P., then prove that x,and4,z
are in H.P.
Find the term of the series 25,2243,2021,1841 which is numerically the smallest.
Find the least value of secA+secB+secC
in an acute angled triangle.