A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- Find the sum of the series 1*n+2*(n-1)+3*(n-2)+4*(n-3)+"..."+(n-1)*2+,...
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- Find the sum of first n terms of the series 0.7 + 0.77 + 0.777 + …..
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- The sum of the series 3/(1^2)+5/(1^2+2^2)+7/(1^2+2^2+3^2)+..... upto n...
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- If a1,a2,a3,.....,an are in AP where ai ne kpi for all i, prove that c...
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- Find the sum of the series cot^(-1) 7+cot^(-1)13+cot^(-1)21+cot^(-1)...
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- The coefficient of x^98 in the expression of (x-1)(x-2)......... (x -...
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- If m times the mth term of an AP is equal to n times its nth term, the...
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- Prove that the numbers sqrt2,sqrt3,sqrt5 cannot be three terms (not ne...
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- If a, b and c are three terms of an A.P. such that a !=b, then (b-c)/(...
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- If loglx,logmx,lognx are in AP where x ne 1 and x is positive, prove t...
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- If log3 2, log3 (2^x -5) and log3 (2^x-7/2) are in A.P, determine the ...
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- If the triplets log a, log b, log c and (log a-log 2b), (log 2b-log 3c...
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- Find three-digit numbers that are divisible by 5 as well as 9 and whos...
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- 1000 ! Is divisible by 10^n. Find the largest positive integral value ...
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- Find the number of common terms in the following sequences : 3, 7, 11,...
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- Find the number of common terms in the following sequences : 1, 5, 9, ...
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- Find the four numbers in A.P., whose sum is 50 and in which the gre...
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- The sum of four whole numbers in AP is 24 and their product is 945, fi...
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- 4. (a) Divide 20 into 4 parts which are in A.P. and such that. the pro...
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- 22. There are two sets of numbers each consisting of 3 terms in A.P. a...
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