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. The sum of an infinite number of terms...

. The sum of an infinite number of terms of a G.P. is 20, and the sum of their squares is 100, then the first term of the G.P. is

A

5

B

`8//5`

C

`3//5`

D

8

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. The first and last term of an A.P. are a and l respectively. If S be t...

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  2. The value of 2^(1/4).4^(1/8).8^(1/16),,,,,,,oo is equal to.

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  3. . The sum of an infinite number of terms of a G.P. is 20, and the sum ...

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  4. The eighth term of a geometric progression is 128 and common ratio is ...

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  5. l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive...

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  6. If a1, a2, a3, be terms of an A.P. if (a1+a2++ap)/(a1+a2++aq)=(p^2)/(...

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  7. The sum of 10 terms of the series sqrt2 + sqrt6 + sqrt18 +... is

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  8. If 1^2+2^2+3^2+n^2-1015 then the value of n is equal to (A) 13 (B) 14 ...

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  9. Sum of series 1^2+(1^2+2^2)+(1^2+2^2+3^2)+.... upto 22 terms is

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  10. If a,b,c are in A.P and a^2, b^2, c^2 are in H.P then

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  11. The mth term of an A. P. is n and nth term is m. Then rth term of it i...

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  12. If a,b, c are in G.P., then the equations ax^(2) + 2bx + c = 0 and dx^...

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  13. If log(10)2, log(10)(2^(x)-1) and log(10)(2^(x)+3) are three consecuti...

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  14. Suppose (1)/(2)x, lx,+1l,lx-1l,1l are in A.P., then sum to 10 terms of...

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  15. Let the harmonic mean and geometric mean of two positive numbers be in...

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

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  17. If log(a+c)+log(a+c-2b)=2log(a-c) then

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  18. The sum of intergers from 1 to 100 that are divisible by 2 or 5 is -

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  19. The common difference d of the A.P. in which T(7) = 9 and T(1)T(2)T(7)...

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  20. The numbers 3^(2sin2alpha-1),14and3^(4-2sin2alpha) form first three te...

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