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CENGAGE-SEQUENCE AND SERIES-Question Bank
- n arithmetic means A1, A2 .., An are inserted between 7 and 49 such th...
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- If p, q, r are G.M. between positive number a b and A is one arithmet...
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- Let a, b, c, d be four numbers such that b, c, d are in G.P. with comm...
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- 1+(1+2)(1+3)/2^2(1^3+2^3)+(1+2+3)(1+3+5)/3^2(1^3+2^3+3^3)+(1+2+3+4)(1+...
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- If the first and third terms of a G.P. áre a-2 and a+6 respectively an...
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- If sqrt3, H, sqrt2 are in H.P., then the value of (H+sqrt2)/(H-sqr...
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- If Sn=1+1/3+1/3^2+...+1/3^n-1, n in N, then least value of n suc...
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- The value of 1.1+2.3+3.5+4.7+...+ upto 100 terms is equal to 100 xx 10...
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- If a b c d=1 where a, b, c, d are positive reals then the minimum valu...
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- overset(360)underset(k=1)sum(1/(k sqrtk+1+(k+1) sqrtk)) is the ratio o...
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- If x , y, z are arbitrary positive real numbers satisfying the equatio...
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- If a, b, c are non-zero real numbers, then the minimum value of the ex...
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- The value of sum underset(r=1)overset(10)sum(2^r-1+8 r-3) is equal ...
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- Let a1, a2, a3, ..., a21 be in arithmetic progression. If underset...
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- Let S1, S2, S3, S4, S5, ....Sn are the sums of infinite geometric seri...
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- The positive integral value of n such that 1.2^1+2.2^2+3.2^3+4.2^4+….+...
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- For any x, y in R, x y gt 0 then the minimum value of. (2 x)/(y^3)...
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- Let .E=x^(2017)+y^(2017)+z^(2017)-2017 x y z (where x, y, z ge 0) ...
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- The equation x^3-6 x^2+p x-8=0 has only positive real roots. The value...
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- If a, b, c are the first three non-zero terms of a geometric progressi...
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