Home
Class 12
MATHS
1.3 + 2.4 + 3.5 + …… + n(n+2) =( n(n+1)(...

`1.3 + 2.4 + 3.5 + …… + n(n+2) =( n(n+1)(2n+7))/6`

Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|66 Videos

  • PROBABILITY

    MBD PUBLICATION|Exercise QUESTION BANK|171 Videos

Similar Questions

Explore conceptually related problems

1 + 3 + 5 +……+ (2n -1) = n^2

1/1.2 + 1/2.3 +…..+ 1/(n(n+1)) = n/(n+1)

Prove the following by induction. 1^2 + 2^2 + ….+ n^2 = n(n+1)(2n+1)//6

Show that C_1^2 + 2C_2^2 + 3(3^2 + ... + "^nC_n^2 = ((2n-1!))/{(n-1)!}^2

Show that C_0 + 3C_1 + 5C_2 + .... +(2n+1) C_n = (n+1)(2^n)

Show that C_0 C_1 + C_1 C_2 + C_2 C_3 + .... + C_(n-1) C_n = (2n!)/((n-1)!(n+1!))

Show that C_2 + 2C_3 + 3C_4 + ... + (n-1)C_n = 1+ (n-2) 2^(n-1)

Show that 2.6.10……. to n factors =((2n)!)/(n!)

Let f : N rarr N be defined by f(n) = {{:((n+1)/(2), if "n is odd"),((n)/(2),"if n is even"):} Show that f is many one and onto function.