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If p is positive, then the sum to infini...

If p is positive, then the sum to infinity of the series, `1/(1+p) -(1-p)/(1+p)^2 + (1-p)^2/ (1+p)^3 -........` is

A

`1//2`

B

`3//4`

C

`1`

D

None of these

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The correct Answer is:
A
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MOTION-SEQUENCE & SERIES -Exercise -2 (Level -I) Objective Problems /JEE Main AP
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  2. IF , a(1),a(2),a(3),….,a(n) are in AP with common difference d ( wher...

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  3. Find three numbers in G.P. such that their sum is 14 and the sum of th...

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  4. If the sum of an infinite G.P. be 3 and the sum of the squares of its ...

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  5. If x^2+9y^2+25 z^2=x y z((15)/2+5/y+3/z),t h e n x ,y ,a n dz are in ...

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  6. If b+ c,c + a, a +b are in H.P then show that a^2,b^2,c^2 are in

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  7. If first and second terms of a HP are a and b, then its n^(th) term wi...

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  8. If a,b,c are in A.P., then (bc)/(ca+ab),(ca)/(bc+ab),(ab)/(bc+ca)

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  9. If p is positive, then the sum to infinity of the series, 1/(1+p) -(1-...

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  10. Find the sum of the series 1-3/2+5/4-7/8+9/16..........oo

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  11. Find the sum of n terms of the series the r^(th) term of which is (2r+...

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  12. If Hn=1+1/2+1/3+.... +1/n, then value of 1+3/2+5/3+....+(2n-1)/n is

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  13. Find the sum of all possible products of the first n natural numbers t...

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  14. {an} and {bn} are two sequences given by an=(x)^(1//2^n) +(y)^(1//2^n)...

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  15. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

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  16. If sum of A.M. and H.M between two numbers is 25 and their GM is 12, t...

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  17. Find two numbers whose arithmetic mean is 34 and the geometric mean is...

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  18. The ratio between the GM’s of the roots of the equations ax^2+bx+c=0 a...

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  19. One side of an equilateral triangle is 24 cm. The midpoints of its sid...

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  20. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

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