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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- 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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- Find four numbers between 4 and 40 so that the six numbers are consecu...
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- The sum of three numbers which are consecutive terms of an AP is 2 and...
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- The sum of three numbers which are consecutive terms of an AP is 3 and...
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- "If "a1,a2,a3,.....,an" are in AP, prove that "a(1)+a(n)=a(r)+a(n-r+1)...
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- If a1,a2,a3,.....,an are in AP, prove that 1/(a1a2)+1/(a2a3)+1/(a3a4)+...
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- If a1,a2,a3,………an are in A.P, where ai.0 for all i show that 1/(sqrt(a...
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- Let a1,a2,a3 …. an be in A.P. If 1/(a1an)+1/(a2a(n-1))+… + 1/(an a...
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- If the sequence a(1),a(2),a(3),…,a(n) is an A.P., then prove that a(1)...
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- If the nonzero numbers a1,a2,a3,....,an are in AP, prove that 1/(a1a2a...
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- If a,b,c are in A.P. prove that b+c,c+a,a+b are also in A.P.
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- If ab+bc+ca!=0 and a,b,c are in A.P. prove that a^2(b+c), b^2(c+a), c^...
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