Home
Class 11
MATHS
(i)1+(1+2)+(1+2+3)+………. to n terms. (i...

(i)`1+(1+2)+(1+2+3)+……….` to n terms.
(ii)`1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)+3^(2))+`………………to n terms.

Text Solution

Verified by Experts

The correct Answer is:
(i) `1/5n(n+1)(n+2)`
(ii)`1/12n(n+1)^(2)(n+2)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise ADDITIONAL QUESTIONS|3 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise FILL IN THE BLANKS|10 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (l) LATQ|6 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of the series: 1^(2)+(1^(2)+2^(2))+(1^(2)+2^(2)+3^(2))+

Find 1+ 1/(1+2)+1/(1+2+3)+….. to n terms.

The sum of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(2))+...... upto n terms,is

The sum of the series (1+2) +(1+2+2^(2))+ (1+2+2^(2)+2^(3)) +…. upto n terms is

Find the sum 1+(1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+ …. To n terms.

1+(1+2)+(1+2+3)+(1+2+3+4)+ to n terms.

Find the sum of the GP : (i) sqrt(7)+sqrt(21)+3sqrt(7)+... to n terms (ii) 1-1/3+1/3^(2)-1/3^(3)+... to n terms (iii) 1-a+a^(2)-a^(3)+... to n terms (a ne 1) (iv) x^(3)+x^(5)+x^(7)+... to terms (v) x(x+y)+x^(2)(x^(2)+y^(2))+x^(3) (x^(3)+y^(3))+... to n terms

The sum to n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^(2)+2^(2)+3^(2))+--

The sum of the series (1+2)+(1+2+2^(2))+(1+2+2^(2)+2^(3))+ . . . up to n terms, is

STATEMENT-1 : If 1^(2) - 2^(n) + 3^(2) …….."to" 21 terms is 231 STATEMENT-2 : If 1^(3) - 2^(3) + 3^(3) - 4^(5) ……….. to 15 terms is 1856 STATEMENT-3 : If 1^(1) + 3^(2) + 5^(2) …….. to 8 terms is 689