Find the $20^{t h}$ term of the series $2 \times 4 + 4 \times 6 + 6 \times 8 + . . . + n$ terms.

Open in App

Solution

The given series is $2 \times 4 + 4 \times 6 + 6 \times 8 + . . . n$ terms
$∴$ $n^{t h}$ term $= a_{n} = 2 n \times (2 n + 2) = {4 n}^{2} + 4 n$
$∴ a_{20} = 4 {(20)}^{2} + 4 (20) = 4 (400) + 80 = 1600 + 80 = 1680$
Thus the $20^{t h}$ term of the series is $1680.$

Suggest Corrections

Similar questions

20^{t h}

2 \times 4 + 4 \times 6 + 6 \times 8 + . . . . + n

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

The $20^{t h}$ term of the series 2 $\times$ 4+4 $\times$ 6+6 $\times$ 8+......... will be

Find the 20 $^{t h}$ term and the sum of 20 terms of the series :

$2 \times 4 + 4 \times 6 + 6 \times 8 + . . . .$

Join BYJU'S Learning Program