Question

3) Determine a fórmula do termo
geral das sequências abaixo:
a) (2,3,4,5,6,...)
b) (3,6,9,12,...)
c) ( -1, 3, 7,11,15,...)

Answer 1

a) (2,3,4,5,6,...)

r=a2-a1

r=3-2

r=1

An=a1+(n-1).r

an=2+(n-1).1

an=2+n-1

an=n+1

b) (3,6,9,12,...)

r=a2-a1

r=6-3

r=3

an=a1+(n-1).r

an=3+(n-1).3

an=3+3n-3

an=3n

c) ( -1, 3, 7,11,15,...)

r=a2-a1

r=3-(-1)

r=3+1

r=4

an=a1+(n-1).r

an=-1+(n-1).4

an=-1+4n-4

an=4n-5