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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- If a^2, b^2, c^2 are in A.P, show that: a/(b+c), b/(c+a), c/(a+b) are...
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- If x, y, z are in AP, prove that 1/(sqrty+sqrtz),1/(sqrtz+sqrtx),1/(sq...
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- If Sn=an^2+bn+c where c ne 0 and Sn denotes the sum to n terms of a se...
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- The sum of n terms of a series is 2n^2+3n. Is the series arithmetic ? ...
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- Find the sum of all positive integers less than 200 that are divisible...
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- 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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