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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- Find the sum of all natural numbers n in [100, 300] that are neither d...
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- Find the sum of all 3-digit natural numbers which are of the form 3m+2...
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- Sum the series to n terms: 1/(1+sqrtx)+1/(1-x)+1/(1-sqrtx)+.....
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- How many terms of 1+3+5+7+... amount to 1234321 ?
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- The maximum sum of the series 20+19 1/3+18 2/3+ is 310 b. 300 c. 0320 ...
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- If a1,a2...................,a19 are the first 19 term of an AP and a1+...
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- The sum of the first 100 terms common to the series 17, 21, 25, 29...
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- in an AP , Sp=q , Sq=p and Sr denotes the sum of the first r terms. Th...
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- Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...
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- If S(n) is the sum of the first n terms of an A.P. then :
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- If mth term of am A.P.is 1/n and nth term is 1/m find the sum of first...
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- The first term of an A.P. is a and the sum of first p terms is zero, s...
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- Given an A.P. whose terms are all positive integers. The sum of its fi...
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- If the sum of m terms of an A.P. is equal to the sum of either the nex...
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- if S1 , S2 , S3..........,Sq are the sums of n terms of q ,AP's whose ...
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- If S1 be the sum of (2n+1) term of an A.P. and S2 be the sum of its od...
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- The number of terms in an AP is even. The sum of the odd terms is 24 w...
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- The ratio of the sums of n terms of two Aps is (3n-13) : (5n+21). Find...
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- Find the AP in which the ratio of the sum to n terms to the sum of suc...
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- If x,2x+2,3x+3 are the first three terms of a GP, find the fifth term ...
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