The value of sum(i-1)^nsum(j=1)^isum(k=1...

The value of `sum_(i-1)^nsum_(j=1)^isum_(k=1)^j1=220 ,` then the value of `n` equals `11` b. `12` c.10 d. 9

A

11

B

12

C

10

D

9

Text Solution

Verified by Experts

The correct Answer is:

C

The sum equals `(n(n+1)(n+2))/6=220`
Which is true for n=10

Promotional Banner

Promotional Banner

Topper's Solved these Questions

PROGRESSION AND SERIES
CENGAGE ENGLISH|Exercise EXERCIESE ( LINKED COMPREHENSION TYPE )|60 Videos
PROGRESSION AND SERIES
CENGAGE ENGLISH|Exercise EXERCIESE ( NUMERICAL VALUE TYPE )|28 Videos
PROGRESSION AND SERIES
CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERICISE 5.9|9 Videos
PROBABILITY II
CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos
PROPERTIES AND SOLUTIONS OF TRIANGLE
CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos

Similar Questions

Explore conceptually related problems

S=sum_(i=1)^nsum_(j=1)^isum_(k=1)^j1

The value of sum_(i=1)^nsum_(j=1)^isum_(k=1)^j1=220 , then the value of n equals a. 11 b. 12 c. 10 d. 9

The value of sum_(r=0)^nsum_(s=0)^nsum_(t=0)^nsum_(u=0)^n(1) is

The value of sum_(i=0)^oosum_(j=0)^oosum_(k=0)^oo1/(3^i3^j3^k) is

Find the sum sum_(j=1)^(10)sum_(i=1)^(10)ixx2^(j)

If the sum sum_(n=1)^10 sum_(m=1)^10 tan^(-1) (m/n) = k pi , find the value of k

If sum_(r=1)^nt_r=sum_(k=1)^nsum_(j=1)^ksum_(i=1)^j2 , then sum_(r=1)^n1/t_r=

The value of sum_(r=1)^(n) (-1)^(r+1)(""^(n)C_(r))/(r+1) is equal to

The value of sum_(r=1)^(n+1)(sum_(k=1)^n "^k C_(r-1)) ( where r ,k ,n in N) is equal to a. 2^(n+1)-2 b. 2^(n+1)-1 c. 2^(n+1) d. none of these

The value of sum_(r=1)^(10) r. (""^(n)C_(r))/(""^(n)C_(r-1) is equal to

CENGAGE ENGLISH-PROGRESSION AND SERIES-EXERCIESE ( SINGLE CORRECT ANSWER TYPE )

The sum 1+3+7+15+31+...to100 terms is 2^(100)-102 b b. 2^(99)-101 c. ...
Text Solution
|
Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th te...
Text Solution
|
The value of sum(i-1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of n...
Text Solution
|
If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...
Text Solution
|
If tn denotes the nth term of the series 2+3+6+11+18+….. Then t50 is
Text Solution
|
The sum of series Sigma(r=0)^(r) (-1)^r(n+2r)^2 (where n is even) is
Text Solution
|
If (1^2-t1)+(2^2-t2)+---+(n^2-tn)=(n(n^2-1))/3 , then tn is equal to a...
Text Solution
|
If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...
Text Solution
|
If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...
Text Solution
|
The sum to 50 terms of the series 3/1^2+5/(1^2+2^2)+7/(1^+2^2+3^2)+...
Text Solution
|
Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....
Text Solution
|
If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...
Text Solution
|
If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...
Text Solution
|
lim(nrarroo) Sigma(r=1)^(n) (r)/(1xx3xx5xx7xx9xx...xx(2r+1)) is equal ...
Text Solution
|
The greatest interger by which 1+Sigma(r=1)^(30) rxxr ! is divisible...
Text Solution
|
If Sigma(r=1)^(n) r^4=I(n), " then "Sigma(r=1)^(n) (2r -1)^4 is equal ...
Text Solution
|
Value of lim(ntooo)(1+1/3)(1+1/(3^2))(1+1/(3^4))(1+1/(3^8))oo is equal...
Text Solution
|
If x1,x2 …,x(20) are in H.P and x1,2,x(20) are in G.P then Sigma(r=1)^...
Text Solution
|
The value of Sigma(r=1)^(n) (a+r+ar)(-a)^r is equal to
Text Solution
|
The sum of series x/(1-x^2)+(x^2)/(1-x^4)+(x^4)/(1-x^8)+ to infinite t...
Text Solution
|