Home
Class 12
MATHS
2. C2 + 6. C3 + 12. C4 +….. + n (n-1) . ...

`2. C_2 + 6. C_3 + 12. C_4 +….. + n (n-1) . C_n=`

A

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

B

`n. (n + 1) . 2^(n-2)`

C

`n. (n+1) . 2^(n - 5)`

D

`n. (n+1).2 ^(n+5)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C (BINOMIAL THEOREM WITH RATIONAL INDEX)|68 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)|149 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4 (SPECIAL TYPE QUESTIONS)|15 Videos
  • CIRCLE

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set 4|4 Videos

Similar Questions

Explore conceptually related problems

3. C_0 + 7. C_1 + 11. C_2 +…...+ (4n+3) . C_n=

C_1 + 2. C_2 + 3. C_3 + …... + n. C_n=

C_0+3. C_1+5. C_2 +…...(2n+1).C_n=

With usual notations prove that 2.C_0 + 7.C_1 + 12.C_2 + ……..+(5n + 2).C_n = (5n + 4).2^(n-1)

Prove that C_0.C_3 + C_1.C_4 + C_2.C_5 + …..+C_(n-3).C_n = ""^(2n)C_(n +3)

If (1+x)^n = C_0 + C_1 x+ C_2 x^2 + ….....+ C_n x^n, then C_0+2. C_1 +3. C_2 +….+(n+1) . C_n=