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2.(C2)/(C1)+3.(C3)/(C2)+…...+n. (Cn)/(C(...

`2.(C_2)/(C_1)+3.(C_3)/(C_2)+…...+n. (C_n)/(C_(n-1))=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1B (BINOMIAL COEFFICIENTS)
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  2. (C1)/(C0)+2. (C2)/(C1)+3. (C3)/(C2)+….+n.(Cn)/(C(n-1))=

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  3. 2.(C2)/(C1)+3.(C3)/(C2)+…...+n. (Cn)/(C(n-1))=

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  4. (1 +x)^15 = a0 + a1x +…..+a15 x^15 rArr sum(r = 1)^15 r (ar)/(a(r - 1)...

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  5. Prove that : If n is a positive integer, then prove that C(0)+(C(1))...

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  6. C0-(C1)/(2)+(C2)/(3)-…...+(-1)^n (Cn)/(n+1)=

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  7. (C0)/(1) + (C2)/(3) + (C4)/(5) + ……+(C16)/(17) =

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  8. C0 + (C1)/(2) + (C2)/(2^2) + (C3)/(2^3)+…..+(Cn)/(2^n)=

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  9. C3//4+C5//6+C7//8+….=

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  10. C0+(C1 x)/(2)+(C2 x^2)/(3)+…...+(Cn x^n)/(n+1)=

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  11. 2.C0 + (2^2)/(2).C1 + (2^3)/(3).C2 + ……+(2^11)/(11).C10 =

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  12. k. C0 + k^2 . (C1)/(2)+k^3. (C2)/(3)+…..+ k^(n+1). (Cn)/(n+1)=

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  13. 2. C0+ 2^2 (C1)/(2)+2^3. (C2)/(3)+…....+2^(n+1). (Cn)/(n+1)=

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  14. (C0)/(2)+(C1)/(3)+(C2)/(4)+…...+(Cn)/(n+2)=

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