A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- If a,b,c are in G.P., then show that : loga, logb, log c are in A.P.
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- If a,b,c are in A.P. and x,y,z in G.P., prove that x^(b-c).y^(c-a).z^(...
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- If a, b, c are in A.P and a, b, d are in G.P, prove that a, a -b, d ...
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- 29. If a,b,c are in G.P. and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, ...
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- If a, x, b as well as c, x, d are in GP while a^2,y,b^2 as well as c^2...
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- If pth, qth and rth terms of an A.P. and G.JP. Both be a,b and c respe...
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- If pth, qth , rth and sth terms of an AP are in GP then show that (p-q...
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- If second third and sixth terms of an A.P. are consecutive terms o a ...
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- Find an AP of distinct terms whose first term is unity such that the s...
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- In a set of four number, the first three are in GP & the last three ar...
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- In a set of four numbers, the first three are in GP and the last three...
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- Prove that three unequal numbers cannot be in GP when each number incr...
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- Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them r...
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- The sum of three numbers in G.P. is 14. If the first to terms are each...
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- The sum of three numbers in G.P. is 70. If each of the two extremes be...
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- Three non-zero real numbers from an A.P. and the squares of these numb...
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- Find three numbers a, b,c between 2 & 18 such that; O their sum is 25 ...
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- Given four numbers, the first three of which are three successive term...
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- The first term of an AP is the same as that of a GP. The common differ...
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- The sum oif the first ten terms of an A.P. is equal to 155, and the su...
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