Home
Class 10
MATHS
The sum of first n terms of a certain se...

The sum of first n terms of a certain series is given as `2n^(2)-3n`. Show that the series is an A.P.

Text Solution

Verified by Experts

The correct Answer is:
common difference is 4 and AP s -1,3,7,11,……
The series is in AP.
Promotional Banner

Topper's Solved these Questions

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise EXERCISE 2.7|12 Videos

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise EXERCISE 2.8|10 Videos

  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise EXERCISE 2.5|14 Videos

  • MENSURATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)|26 Videos

Similar Questions

Explore conceptually related problems

The sum of first n terms of a certain series is given as 3n^(2)-2n . Show that the series is an arithmetic series.

If the sum of the first n terms of a series be 5n^(2) + 2n , then its second term is

Find the sum to n terms of the series 5+55+555+ ……

Find the sum of the first 30 terms of an A.P. whose nth term is 3 + 2n.

The sum to n terms of a series is (n(n + 1)(n + 2))/3 . The 12^(th) terms is

Find the sum of the first 28 terms of an A.P. whose nth term is 4n-3.

Find the sum to n terms of the series 3+15+35+63+

The ratio of the sum of m and n terms of an A.P. is m^(2):n^(2) . Show that the ratio of m^(th) and n^(th) term is 2m - 1 : 2n - 1 .

If the sum of the first n terms of an AP is 4n-n^(2) , what is the first term (note that the first term is S_(1) )? What is the sum of first two terms? What is the second term? Similarly, find the 3rd, the 10th and the nth terms