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In a geometric progression, if the ratio...

In a geometric progression, if the ratio of the sum of first `5` terms to the sum of their reciprocals is `49,` and the sum of the first and the third term is `35.` Then the first term of this geometric progression is

A

7

B

21

C

28

D

42

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
  1. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  2. If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is ...

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  3. In a geometric progression, if the ratio of the sum of first 5 terms t...

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  4. The sum of the first 20 terms common between the series 3 +7+11+15+.....

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  5. Let G be the geometric mean of two positive numbers a and b, and M be ...

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  6. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

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  7. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

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  8. where f (n) = [(1)/(3) + (3n)/(100)] n, where [ n] denotes the greate...

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  9. If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">...

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

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  11. The value of sum(r = 16)^(30)(r + 2)(r - 3) is equal to :

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  12. The sum of the 3rd and the 4th terms of a G.P. is 60 and the product o...

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  13. If sum(n=1)^5 1/(n(n+1)(n+2)(n+3))=k/3, then k is equal to :-

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  14. If the 2^(nd), 56^(th) and 9^(th) terms of a non-constant A. P. are in...

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  15. If the sum of the first ten terms of the series (1 3/5)^2+(2 2/5)^2+(3...

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  16. Let a1, a2, a3, ....an,.........be in A.P. If a3 + a7 + a11 + a15 = 7...

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  17. For any three positive real numbers a, b and c, 9(25a^2+b^2)+25(c^2-3a...

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  18. Let a,b,c in R. " If " f(x) =ax^(2)+bx+c be such that a+b+c=3 and f(x+...

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  19. If the arithmetic mean of two numbers a and b,a>b>0, is five times the...

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  20. If the sum of the first n terms of the series sqrt3+sqrt75+sqrt243+sqr...

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