Question

In
= 2n+2n²
find the first five terms
​

Answer 1

`t(n) = 2 {n}^(2) + 2n`

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`t(1) = 2 ({1})^(2) + 2(1)`

`t(1) = 2 * 1 + 2 * 1`

`t(1) = 2 + 2 = 4`

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`t(2) = 2 ({2})^(2) + 2(2)`

`t(2) = 2 * 4 + 2 * 2`

`t(2) = 8 + 4 = 12`

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`t(3) = 2 ({3})^(2) + 2(3)`

`t(3) = 2 * 9 + 2 * 3`

`t(3) = 18 + 6 = 24`

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`t(4) = 2 ({4})^(2) + 2(4)`

`t(4) = 2 * 16 + 2 * 4`

`t(4) = 32 + 8 = 40`

##############################

`t(5) = 2 ({5})^(2) + 2(5)`

`t(5) = 2 * 25 + 2 * 5`

`t(5) = 50 + 10`

`t(5) = 60`

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And we're done.

Thanks for watching buddy good luck.

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