Question

DETERMINE OS 3 PRIMEIROS TERMOS (1, 2, 3) DE CADA SEQUÊNCIA.

a) an = 4n + 1

b) an = 6n + 2

c) an = n + 10

d) an = 9n + 3​

Answer 1

$\largea)~ an = 4n + 1 ~ \Rightarrow ~S = ( 5, 9, 13) \\\\\largeb) ~an = 6n + 2 ~ \Rightarrow ~S = ( 8, 14, 20 ) \\\\\largeb) ~ an = n + 10 ~ \Rightarrow ~S = ( 11, 12, 13 ) \\\\\largeb) ~an = 9n + 3 ~ \Rightarrow ~S = ( 12, 21, 30 )$

Substituir o valor de n por números naturais exceto o zero

$a)~ an = 4n + 1\\\\an = 4n + 1\\a1 = 4~. ~1 + 1\\a1 = 4 + 1\\a1 = 5\\\\an = 4n + 1\\a2 = 4~. ~2 + 1\\a2 = 8 + 1\\a2 = 9\\\\an = 4n + 1\\a2 = 4~. ~3 + 1\\a2 = 12 + 1\\a2 = 13\\\\\\S = ( 5, 9, 13)$                        $b)~ an = 6n + 2\\\\an = 6n + 2\\a1 = 6~. ~1 + 2\\a1 = 6 + 2\\a1 = 8\\\\an = 6n + 2\\a2 = 6~. ~2 + 2\\a2 = 12 + 2\\a2 = 14\\\\an = 6n + 2\\a2 = 6~. ~3 + 2\\a2 = 18 + 2\\a2 = 20\\\\\\S = ( 8, 14, 20 )$

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$c)~ an = n + 10\\\\an = n + 10\\a1 = 1 + 10\\a1 = 11\\\\an = n + 10\\a2 = 2 + 10\\a2 = 12\\\\an = n + 10\\a3 = 3 + 10\\a3 = 13\\\\\\S = ( 11, 12, 13 )$                   $d)~ an = 9n + 3\\\\an = 9n + 3\\a1 = 9~. ~1 + 3\\a1 = 9 + 3\\a1 = 12\\\\an = 9n + 3\\a2 = 9~. ~2 + 3\\a2 = 18 + 3\\a2 = 21\\\\an = 9n + 3\\a3 = 9~. ~3 + 3\\a3 = 27 + 3\\a3 = 30\\\\\\S = ( 12, 21, 30 )$

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