CBSE (Arts) Class 11CBSE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Find the 20th Term of the Series 2 × 4 + 4 × 6 + 6 × 8 + … + N Terms. - CBSE (Arts) Class 11 - Mathematics

Login
Create free account


      Forgot password?

Question

Find the 20th term of the series 2 × 4 + 4 × 6 + 6 × 8 + … + n terms.

Solution

The given series is 2 × 4 + 4 × 6 + 6 × 8 + … n terms

∴ nth term = an = 2n × (2n + 2) = 4n2 + 4n

a20 = 4 (20)2 + 4(20) = 4 (400) + 80 = 1600 + 80 = 1680

Thus, the 20th term of the series is 1680.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2018 to Current)
Chapter 9: Sequences and Series
Q: 22 | Page no. 200
Solution Find the 20th Term of the Series 2 × 4 + 4 × 6 + 6 × 8 + … + N Terms. Concept: Concept of Series.
S
View in app×