Question

6) Determine o termo geral de cada sequência:
a) (1, 4, 7, 10, ...)
b) (3, 6, 9, 12, 15, ...)
c) (3, 6, 12, 24, 48, ...)
d) (0, 5, 10, 15...)​

Answer 1

Resposta:

Explicação passo-a-passo:

A. (1,2,3,4,5,...)  

a1=a2-r

1=2-r

r=2-1

r=1

an=a1+(n-1).r

an=1+(n-1).1

an=1+n-1

an=n

B. (4,8,12,16,20,...)  

a1=a2-r

4=8-r

r=8-4

r=4

an=a1+(n-1).r

an=4+(n-1).4

an=4+4n-4

an=4n

C. (0,2,4,6,8,...)

a1=a2-r

0=2-r

r=2

an=a1+(n-1).r

an=0+(n-1).2

an=0+2n-2

an=2n-2