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Find the 20^(t h)term of the series 2xx...

Find the `20^(t h)`term of the series
`2xx4+4xx6+6xx8+.....+n`terms.

Text Solution

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The given series is 2 × 4+4 × 6+ 6 × 8+....+n terms
`n` term=`a_n` ​ =2n×(2n+2)
=4`n^2`+4n
`a_20` =`4(20)^2` +4(20)
=1600+80
=1680 ...
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