Sequences and Series
The sum of three A.M. between 2,10 is :
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If the sum of n terms of a G.P. is 3−42n3n+1 , then find the common ratio.
Find the number of terms in the series 20,1931,1832…
the sum of which is 300. Explain the answer.
If m>1,n∈N show that 1m+2m+22m+23m++2nm−m>n1−m(2n−1)m˙
Find the sum of the series 1+3x+5x2+7x3+……….upto n terms.
Find the sum to n terms of the series 1+12+141+1+22+242+1+32+343+………. that means tr=r4+r2+1r find 1∑n
denote the sum of first n
terms of an A.P. If S2n=3Sn,
then find the ratio S3n/Sn˙
Find the sum of the series
are in A.P. and a,g1,g2,g3,,g2n,b
. are in G.P. and h
s the H.M. of aandb,
then prove that