Question

Escreva o termo geral:
a) (1,2,3,4,5,6,...)
b) (2,3,4,5,6,...)
c) (3,6,9,12,15,18,...)
d) (2,5,8,11,14,17,...)

Answer 1

O termo geral é: An = a1 + (n - 1)r
Para achar a razão: r = a2 - a1
A)
An = 1 + (n - 1)1
An = 1 + n  - 1
An = n

B)
An = 2 + (n - 1)1
An = 2 + n - 1
An = n + 1

C)
An = 3 + (n - 1)3
An = 3 + 3n - 3
An = 3n

D)
An = 2 + (n - 1)3
An = 2 + 3n - 3
An = 3n - 1