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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...
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- If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...
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- Find four number in an A.P. whose sum is 20 and sum of their squares i...
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- Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...
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- Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo
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- Prove that in a sequence of numbers 49,4489,444889,44448889 in which e...
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- Find the sum of first 100 terms of the series whose general term is ...
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- If the continued product o three numbers in a G.P. is 216 and the sum ...
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- Find the sum of the series 2/(1xx2)+5/(2xx3)xx2+(10)/(3xx4)xx2^2+(17)/...
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- The sum of some terms of G. P. is 315 whose first term and the comm...
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- A sequence of numbers An, n=1,2,3 is defined as follows : A1=1/2 and f...
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- The sum of three numbers in GP. is 56. If we subtract 1, 7, 21 from ...
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- Find the sum of the products of the ten numbers +-1,+-2,+-3,+-4,a n d+...
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- If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,""1/d ,""1/e are ...
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- Find the sum sum(r=0) .^(n+r)Cr .
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- Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1...
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- Write the first five terms of the following sequence and obtain the ...
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- Prove that the sum to n terms of the series 11+103+1005+ i s(10/9)(10^...
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- If a(n+1)=1/(1-an) for n>=1 and a3=a1. then find the value of (a200...
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- Determine the number of terms in a G.P., if a1=3,an=96 ,a n dSn=189.
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