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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- Let S be the sum, P the product, and R the sum of reciprocals of n ter...
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- If the pth term of an A.P. is q and the qth term is p , then find its ...
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- Find the product of three geometric means between 4 and 1/4.
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- if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...
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- Insert four G.M.’s between 2 and 486.
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- Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)+ up to 22nd term.
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- If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G...
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- If the A.M. of two positive numbers aa n db(a > b) is twice their geom...
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- The sum of infinite number of terms in G.P. is 20 and the sum of their...
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- Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+....+n(1-x)(1-2x) ...
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- Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.
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- Three numbers are in G.P. whose sum is 70. If the extremes be each mul...
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- If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...
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- Find the sum 1+4+13+40+121+dot
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- If each term of an infinite G.P. is twice the sum of the terms foll...
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- The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...
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- Find the sum of the following series: (sqrt(2)+1)+1(sqrt(2)-1)+..........
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- If the set of natural numbers is partitioned into subsets S1={1},S2={2...
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- If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...
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- If the sum of the squares of the first n natural numbers exceeds theri...
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