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Find the 20th Term of the Series 2 × 4 + 4 × 6 + 6 × 8 + … + N Terms. - Mathematics

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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.

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APPEARS IN

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