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Find the sum 2C0+(2^3)/2C1+(2^3)/3C2+(2^...

Find the sum `2C_0+(2^3)/2C_1+(2^3)/3C_2+(2^4)/4C_3++(2^(11))/(11)C_(10)dot`

A

`(3^(11)-1)/(11)`

B

`(2^(11)-1)/(11)`

C

`(11^(3)-1)/(11)`

D

`(11^(2)-1)/(11)`

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 2
  1. The value of underset(r=1)overset(n)sum(-1)^(r+1)(.^(n)C(r))/(r+1) is ...

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  2. The sum of the series underset(r=1)overset(n)sum(-1)^(r-1)..^(n)C(r)(a...

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  3. Find the sum 2C0+(2^3)/2C1+(2^3)/3C2+(2^4)/4C3++(2^(11))/(11)C(10)dot

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  4. The sum to (n+1) terms of the series C0/2-C1/3+C2/4-C3/5+......=

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  5. If (1+x)^(n)=C(0)+C(1)x+…..+C(n)x^(n), then (C(1))/(C(0))+(2C(2))/(C(1...

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  6. sum(r=0)^(n)(""^(n)C(r))/(r+2) is equal to :

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  7. If .^(47)C(4)+underset(r=1)overset(5)(sum).^(52-r)C(3) is equal to

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  8. sum(r=0)^m .^(n+r)Cn is equal to

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  9. Evaluate sum(i=0)^(n)sum(j=0)^(n) ""^(n)C(j) *""^(j)C(i), ile j .

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  10. sum(r=0)^(n)((r+2)/(r+1))*""^(n)C(r) is equal to :

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  11. The expression (""^(10)C(0))^(2)-(""^(10)C(1))^(2)+(""^(10)C(2))^(2)...

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  12. If C(0),C(1), C(2),...,C(n) denote the cefficients in the expansion...

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  13. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) +…+ C(n) x^(n) , find the...

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  14. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) +…+ C(n) x^(n) , find the...

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  15. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n)x^(n), then the value of sums...

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  16. If (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)+….+C(n)x^(n), then the value of sums...

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  17. Find the value of underset(0leiltjlen)(sumsum)(.^(n)C(i)+.^(n)C(j)).

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  18. If n is a positive integer and C(k)=""^(n)C(k), then the value of sum(...

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  19. If C(0),C(1),C(2),…,C(n) are the binomial coefficients in the expansio...

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  20. Find the sum of 1/(1!(n-1)!)+1/(3!(n-3)!)+1/(5!(n-5)!)+ ...,

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