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If second third and sixth terms of an A....

If second third and sixth terms of an A.P. are consecutive terms o a G.P. write the common ratio of the G.P.

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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
  1. If pth, qth and rth terms of an A.P. and G.JP. Both be a,b and c respe...

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  2. If pth, qth , rth and sth terms of an AP are in GP then show that (p-q...

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  3. If second third and sixth terms of an A.P. are consecutive terms o a ...

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  4. Find an AP of distinct terms whose first term is unity such that the s...

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  5. In a set of four number, the first three are in GP & the last three ar...

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  6. In a set of four numbers, the first three are in GP and the last three...

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  7. Prove that three unequal numbers cannot be in GP when each number incr...

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  8. Three numbers whose sum is 15 are in A.P. If 1,4,19 be added to them r...

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  9. The sum of three numbers in G.P. is 14. If the first to terms are each...

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  10. The sum of three numbers in G.P. is 70. If each of the two extremes be...

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  11. Three non-zero real numbers from an A.P. and the squares of these numb...

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  12. Find three numbers a, b,c between 2 & 18 such that; O their sum is 25 ...

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  13. Given four numbers, the first three of which are three successive term...

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  14. The first term of an AP is the same as that of a GP. The common differ...

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  15. The sum oif the first ten terms of an A.P. is equal to 155, and the su...

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  16. The three digit number whose digits are in G.P. and the digits of the ...

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  17. Find a three digit numberwhose consecutive digits form a GP. If we sub...

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  18. If the number 1/(k+2),1/k^2 and 1/(4k+5) are three consecutiv terms of...

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  19. If in an HP, tm=n and tn=m then prove that t(m+n)=(mn)/(m+n).

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  20. The sum of three consecutive terms in H.P is 37 and the sum of their r...

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