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`underset(r=0)overset(n)(sum)(-1)^(r).^(n)C_(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(r))/(2^(3r))+(15^(r))/(2^(4r))+ . . .m" terms"]=`

A

`(1)/(2^(n) - 1)`

B

`(1)/(2^(2n) - 1)`

C

`(1)/(2^(mn) + 1)`

D

`(1)/(2^(n) +1)`

Text Solution

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The correct Answer is:
A
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RESONANCE ENGLISH-DPP-QUESTION
  1. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  2. Let P = underset(r=1)overset(50)sum(.^(50+r)C(r)(2r-1))/(.^(50)C(r)(50...

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  3. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

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  4. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

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  5. The figure shows a rectangle ABCD with a semi-circle and a circle insc...

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  6. p is a prime number and nltplt2n dot If N=^(2n)Cn , then

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  7. The continued product 2.6.10.14…..(n times) in equal to

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  8. The solution of |x^(2) + 3x|+x^(2)-2 ge 0 is

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  9. Which of the following equations have no real solutions ?

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  10. The solution set satisfying the inequality,sqrt(21-4a-a^2)/(a+1)<=1

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  11. Solve the equation: |x+1|-|x|+3|x-1|-2|x-2|=x+2

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  12. Solve the following |(x^2+2x+2)+(3x+7)|<|x^2+2x+2|+|3x+7|

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  13. |x^(2) -1|+|x^(2) - 4|le 3

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  14. Number of non-empty subsets {1,2,3,4,5,6,7,8} having exactly k element...

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  15. If the expansion in powers of x of the function 1//[(1-a x)(1-b x)] is...

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  16. If x is so small that x^3 and higher powers of x may be neglectd, then...

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  17. The sum of the series sum(r=1)^(n) (-1)^(r-1).""^(n)C(r)(a-r), n gt 1 ...

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  18. sum(k=1)^(360)((1)/(ksqrt(k+1)+(k+1)sqrt(k))) is the ratio of two rela...

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  19. Number of ways in which 3 tickets can be selected from a set of 500 ...

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  20. Sum of all the 4-digit numbers which can be formed using the digits 0,...

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