Home
Class 12
MATHS
Find the sum to n terms of each of the f...

Find the sum to n terms of each of the following series :
`1^(2) - 2^(2)+3^(2) - 4^(2) + 5^(2) - 6^(2)+…`

Text Solution

Verified by Experts

The correct Answer is:
`(-1)^(n-1).(n(n+1))/(2)`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Example|7 Videos

  • SEQUENCE AND SERIES

    CHHAYA PUBLICATION|Exercise Exercise 9 A (Multiple Choice Questions)|4 Videos

  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

  • SET THEORY

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Find the sum to n terms of each of the following series : 1^(2) + 3^(2) + 5^(2) +…

Find the sum to n terms of each of the following series : 2 + 22 + 222 +…

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

Find the sum to n terms of each of the following series : (1) + (1+2) + (1+2+3)+…

Find the sum to n terms of each of the following series : (1) + (2+3) + (4+5+6)+…

Find the sum to n terms of each of the following series : (3^(3) - 2^(3)) + (5^(3) - 4^(3)) + (7^(3) - 6^(3))+…

Find the sum to n terms of each of the following series : 2.4 + 6.8 + 10.12+…

Find the sum of first n terms of the following series : 1.2^(2) + 2.3^(2) + 3.4^(2)+…

Find the sum to n terms of each of the following series : n.1 + (n-1).2+(n-2). 3+(n-3).4+…

Find the sum to n terms of each of the following series : (1)/(2.5) + (1)/(5.8) + (1)/(8.11)+…