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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0), then show t...
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- If n arithmetic means are inserted between 2 and 38, then the sum of t...
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- The first terms of a G.P. is 1. The sum of the third and fifth ter...
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- If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+...
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- Three numbers are in G.P. If we double the middle term, we get an A.P....
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- Divide 28 into four parts in an A.P. so that the ratio of the product ...
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- The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560,...
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- If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a...
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- If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) ar...
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- 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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