Question

calcule o valor numérico da expressão
$k = {n}^{2} + 2n + 2 \: para \: \\ \ a)n = 7 \: \: \: \: \: b)n = 8 \: \: \: \: c)n = 20$


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Answer 1

$\boxed{\begin{array}{lr} k=n^2+2n+2 \end{array}}$

Vou Resolver Primeiro por

n = 7

$\boxed{\begin{array}{lr} k=7^2+14+2\\k=49+16\\\\boxed{\begin{array}{lr} k=65 \end{array}} \end{array}}$

Resposta;

k = 65

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Segundo por

n = 8

$\boxed{\begin{array}{lr} k=8^2+16+2\\k=64+18\\\\boxed{\begin{array}{lr} k=82 \end{array}} \end{array}}$

Resposta;

k = 82

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Terceiro por

n = 20

$\boxed{\begin{array}{lr} k=20^2+40+2\\k=400+42\\\\boxed{\begin{array}{lr} k=442 \end{array}} \end{array}}$

Resposta;

k = 442

Então ficou;

$\boxed{\begin{array}{lr} a) \ n=7 \ ,\ k=65\\b)\ n=8 \ ,\ k=82\\c)\ n=20 \ ,\ k=442 \end{array}}$

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