Sabe-se que, a1 = 6 e r = 8, qual é o lugar ocupado na sequência pelo termo igual a 62 ?.... Pergunta de ideia deGustavo5432

December 2019 2 97 Report

Sabe-se que, a1 = 6 e r = 8, qual é o lugar ocupado na sequência pelo termo igual a 62 ?

TesrX Olá.

Usaremos o termo geral da P.A e resolveremos.

$\mathsf{a_n=a_1+(n-1)\cdot r}\\\\
\mathsf{a_n=6+(n-1)\cdot8}\\
\mathsf{62=6+(8n-8)}\\
\mathsf{62=6+8n-8}\\
\mathsf{62=8n-2}\\
\mathsf{-8n=-62-2}\\
\mathsf{-8n=-64\cdot(-1)}\\
\mathsf{8n=64}\\\\
\mathsf{n=\dfrac{64}{8}}\\\\\boxed{\mathsf{n=8}}$

O termo referente à 62 é o 8° termo.

Qualquer dúvida, deixe nos comentários.
Bons estudos.

AnnahLaryssa

a1= 6

r= 8

an= 62

an= a1 + (n - 1) • r

62= 6 + (n - 1) • 8

62= 6 + 8n - 8

62= - 2 + 8n

8n - 2= 62

8n= 62 + 2

8n= 64

n= 64/8

n= 8

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