#### Question

Find the 20^{th} 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

∴ *n*^{th} term = *a*_{n}_{ }= 2*n* × (2*n* + 2) = 4*n*^{2} + 4*n*

*a*_{20} = 4 (20)^{2} + 4(20) = 4 (400) + 80 = 1600 + 80 = 1680

Thus, the 20^{th} term of the series is 1680.

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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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