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The sum of first 9 terms of the series 1...

The sum of first 9 terms of the series `1^3/1 + (1^3 + 2^3)/(1 + 3) + (1^3 + 2^3 + 3^3)/(1 + 3 + 5) + `....... is

A

96

B

142

C

192

D

71

Text Solution

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The correct Answer is:
A
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Let the harmonic mean of two positive real numbers a and b be 4. If q ...

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  2. Suppose that all the terms of an arithmetic progression (A.P) are natu...

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  3. The sum of first 9 terms of the series 1^3/1 + (1^3 + 2^3)/(1 + 3) + (...

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  4. If m is the A.M. of two distinct real number l and n(l , n gt 1) and G...

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  5. If sin^-1 ( x-x^2/2 + x^3/4 - x^4/8 +....) = pi/6 where absx lt 2 then...

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  6. Let d(n) denotes the number of divisors of n including 1 and itself. T...

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  7. Let a, b , c be positive integers such that b/a is an integer. if a, b...

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  8. If (10)^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7+..+10(11)^9 = k(10)^9 then...

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  9. Three positive numbers from an increasing G.P. If the middle term in t...

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  10. Let f(x) = x + 1/2 , then the number of real values of x for which the...

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  11. If a, b and c are positive numbers in a G.P., then the roots of the qu...

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  12. The minimum value of 2^(sin x) + 2^(cos x) is

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  13. If x, y , z are in A.P and tan^-1 x , tan^-1 y and tan^-1 z are also ...

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  14. The sum of first 20 terms of the sequence 0.7 , 0.77 , 0.777,... is

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  15. The value of 1000[1/(1 xx 2) + 1/(2 xx 3) + .........+1/(999 xx 1000)]...

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  16. Let f : R rarr R be such that f is is injective and f(x) f(y) = f(x + ...

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  17. Five number are in H.P. The middle term is 1 and the ratio of the seco...

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  18. If a, b ,c are in A.P ., then the straight line ax + 2by + c=0 will al...

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  19. Six possible number are in G.P . such that their product is 1000. If t...

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  20. Five number are in A.P. with common difference ne 0. If the 1 st , 3 r...

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