Question

calcule os 4 primeiros termos da sequencia cujo termo geral são

A) AN=N+5 

B) AN=2+5N 

C) AN=3/N+2

D)AN=N-2+N

Answer 1

Olá.

A
$a_{n}=n+5$

$a_{1}=1+5=</span>\boxed{6}$
$a_{2}=2+5=\boxed{7}$
$a_{3}=3+5=\boxed{8}$
$a_{4}=4+5=\boxed{9}$

$C=\{6,7,8,9\}$

B
$a_{n}<span>=2+5n$

$a_{1}=2+5\cdot1=\boxed{7}$
$a_{2}=2+5\cdot2=\boxed{12}$
$a_{3}=2+5\cdot3=\boxed{17}$
$a_{4}=2+5\cdot4=\boxed{22}$

$C=\{7,12,17,22\}$

C
$a_{n}=\dfrac{3}{n}<span>+2$

$a_{1}=\dfrac{3}{1}+2=3+2=\boxed{5}$
$a_{2}=\dfrac{3}{2}+2=\dfrac{3+4}{2}=\boxed{\dfrac{7}{2}}$
$a_{3}=\dfrac{3}{3}+2=1+2=\boxed{3}$
$a_{4}=\dfrac{3}{4}+2=\dfrac{3+8}{4}=\boxed{\dfrac{11}{4}}$

$C=\{5,\dfrac{7}{2},3,\dfrac{11}{4}\}$

D
$a_{n}=n-2+n$

$a_{1}=1-2+1=\boxed{0}$
$a_{2}=2-2+2=\boxed{2}$
$a_{3}=3-2+3=\boxed{4}$
$a_{4}=4-2+4=\boxed{6}$

$C=\{0,2,4,6\}$


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Bons estudos.