+0

0
119
2

Evaluate the infinite geometric series:

$$\frac{3}{2}-\frac{2}{3}+\frac{8}{27}-\frac{32}{243}+\dots$$

Jun 26, 2020

#1
0

sumfor(n, 1, 1000, (3/2)^(3 - 2*n))==converges to 2.7

Jun 26, 2020
#2
+31340
+1

The common ratio here is r = -(2/3)2, so the infinite sum is given by (3/2)/(1 - r) = 27/26 ≈ 1.038

Jun 26, 2020