A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- 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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- The three digit number whose digits are in G.P. and the digits of the ...
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- Find a three digit numberwhose consecutive digits form a GP. If we sub...
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- If the number 1/(k+2),1/k^2 and 1/(4k+5) are three consecutiv terms of...
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- If in an HP, tm=n and tn=m then prove that t(m+n)=(mn)/(m+n).
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- The sum of three consecutive terms in H.P is 37 and the sum of their r...
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- If pth, qth and rth terms of a HP be respectivelya,b and c, has prove ...
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- If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...
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