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If x be the AM and y,z be two GM's betwe...

If x be the AM and y,z be two GM's between two positive numbers, then `(y^3 + z^3)/(xyz)` is equal to

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B

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  2. log3 2 , log6 2 and log12 2 are in

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  3. If x be the AM and y,z be two GM's between two positive numbers, then ...

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  4. If In (a + c), In(c - a) , In(a - 2b + c) are in A.P., then

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  5. The sum of the numerical series 1/(sqrt3 + sqrt7) + 1/(sqrt7 + sqrt11)...

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  6. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

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  7. The series of natural number is divided into groups 1 , 2, 3, 4,.........

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  8. sum(i = 1)^n sum(j = 1)^i sum(k = 1)^j 1 is equal to

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  9. The sides of a right angle triangle from a G.P. the tangent of the sma...

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  10. If the first & the (2n + 1)th terms of an A.P. , a G.P & an H.P. of po...

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  11. If the arithmetic mean of two positive numbers a & b (a gt b) is twice...

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  12. If Sn denotes the sum to n terms of the series (1 le n le 9) 1 + 22 + ...

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  13. If a , b , c are in H.P. , then

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  16. Given a sequence t1 , t2 ,..... if its possible to find a function f(r...

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  17. Let a1, a2 , a3,...., am be the arithmetic means between -2 and 1027 a...

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  18. Let a1, a2 , a3,...., am be the arithmetic means between -2 and 1027 a...

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