Question

Escreva o termo geral an de cada sequência, com n£N e n>1.
a) (2,3,4,5,6,...)
b) (-2,3,8,13,18,...)
c) (2,2+√2,3+√3,6,5+√5,6+√6,...)

Answer 1

a)
an = a1 + (n - 1).r
an = 2 + (n - 1).1
an = 2 + n - 1
an = 1 + n
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b)
an = a1 + (n - 1).r
an = - 2 + (n - 1).5
an = - 2 + 5n - 5
an = - 2 - 5 + 5n
an = - 7 + 5n
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c)
an = a1 + (n - 1).r
an = 2 + (n - 1).√2
an = 2 + √2.n - √2
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r = a2 - a1
r = 2 + √2 - 2
r = 2 - 2 + √2
r = √2