Question

In= 2n+2n²find the first five terms​

Answer 1

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

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

$t(1) = 2 \times 1 + 2 \times 1$

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

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

$t(2) = 2 \times 4 + 2 \times 2$

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

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

$t(3) = 2 \times 9 + 2 \times 3$

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

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

$t(4) = 2 \times 16 + 2 \times 4$

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

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

$t(5) = 2 \times 25 + 2 \times 5$

$t(5) = 50 + 10$

$t(5) = 60$

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And we're done.

Thanks for watching buddy good luck.

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