Question

Dada a P.G. (8,32,...,2³¹) , determine seu termo geral.

Gabarito: 2^2n+1

Answer 1

a1 = 8  = 2³
a2 = 32 = 2⁵
q = 2⁵ / 2³  = 2²
an = 2³¹

2³¹ = 2³ * (2²)ⁿ⁻¹
2³¹ = 2³ * ( 2 )²ⁿ⁻²
2³¹ =( 2 )²ⁿ⁻²⁺³
2³¹ = ( 2 )²ⁿ⁺¹ *****