Question

Determine o termo geral da seqüência.

A)(1/2,1/4,1/8,1/16,...)
B) (1,-2/3,4/9,-8/27,...)
C)(2,7,12,17,...)
D)(0,3/2,2/3,5/4,7/6,6/7,...)

Answer 1

A)

an = a1 . $q^{n-1}$
an = $\frac{1}{2}$ . $\frac{1}{2}^{n-1}$

B)

an = 1 . $(\frac{-2}{3})^{n-1}$

C)

an = a1 + (n-1)r
an= 2 + (n-1)5

D) an = (n+1)/n, se n for par
    an = (n-1)/n, se n for ímpar

Answer 2

 A) 1/2  =  1/2 . 1/4   = 1/8 . 1/2 = 1/16   

B ) -2/3   = 1 . -2/3 = - 2/3 . -2/3 = 4/9 .-2/3 = - 8/27

C) 5 = 2+5 =7 + 5 = 12 + 5 = 17