Question

Given the following Geometric Sequence: 6;3;1.5;0.75.......
Determine the nth term, Tn

Answer 1

T₁ = 6

Tₙ = T₁ / 2 ⁿ⁻¹

Explanation:

T₁ = 6

Tₙ = T₁ / 2 ⁿ⁻¹

T₂ = 6 / 2²⁻¹ = 6 / 2 = 3

T₃ = 6 / 2³⁻¹ = 6 / 4 = 1.5

Answer 2

6/2=3
3/2=1.5
1.5/2=.75
.75/2=.375
.375/2=.1875
.1876/2=.09375
.09375/2=.046875
.046875/2=.0234375