2(3^X-1 + 3^x-2+.....) adalah Contoh jawaban. 2^3x

Deret tak hingga

2(3ˣ⁻¹ + 3ˣ⁻² + 3ˣ⁻³ + ....)
misal
p = 3ˣ⁻¹ + 3ˣ⁻² + 3ˣ⁻³+ ...
p = 3ˣ (3⁻¹ + 3⁻² + 3⁻³ + ...)
.
3⁻¹ + 3⁻² + 3⁻³ + ... = S~
1/3 + 1/9 + 1/27 + ...
a = 1/3
r = 1/9  : 1/3 = 1/3
S~ = a/(1 - r) = (1/3) / (1 - 1/3)= 1/3 / (2/3)= 1/2

p= 3ˣ (s~)
p = 3ˣ (1/2)
.
2(3ˣ⁻¹ + 3ˣ⁻² + 3ˣ⁻³ + ...) = 2 p = 2 .3ˣ. ¹/₂ = 3ˣ
2(3⁻¹ + 3ˣ⁻² + 3ˣ⁻³ +...) = 3ˣ