Home
Class 12
MATHS
sum(k=1)^(oo) sum(r=0)^(k) (1)/(3^k) (""...

` sum_(k=1)^(oo) sum_(r=0)^(k) (1)/(3^k) (""^k C_r)=`

A

`1/3`

B

`2/3`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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

sum_(k=1)^(2n+1) (-1)^(k-1) k^2 =

Find sum_(i=1)^n sum_(i=1)^n sum_(k=1)^n (ijk)

sum_(r = 0)^(n-1) (C_r)/(C_r + C_(r+1)) =

If omega is a complex cube root of unity , then sum_(k = 1)^(6) ( omega^(k) + (1)/(omega^(k)))^(2) =

sum_(k=1)^3 cos^(2)((2k-1)(pi)/(12))=

sum_(i=1)^(n) sum_(j=1)^(i) sum_(k=1)^(j) 1, is equal to