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Suppose that all the terms of an arithme...

Suppose that all the terms of an arithmetic progression (A.P) are natural numbers. If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh terms lies in between 130 and 140, then the common difference of this A.P, is

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Suppose that all the terms of an arithmetic progression (A.P) are natural number .If the ratio of the sum of the first seven terms to the sum of the first eleven terms is 6 : 11 and the seventh term lies in between 130 and 140 , then the common differnce of A.P . is -

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...

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  2. Let the harmonic mean of two positive real numbers a and b be 4. If q ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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