Find the Sum of the Infinite Geometric Series 4/3 , 8/3 , 16/3 , 32/3 , 64/3

$\frac{4}{3}$ , $\frac{8}{3}$ , $\frac{16}{3}$ , $\frac{32}{3}$ , $\frac{64}{3}$

Step 1

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by $2$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = 2$

Step 2

The series given has a value of $r$ such that $r > 1$ or $r < - 1$ . Therefore, the infinite sum cannot be calculated.

No solution

Find the Sum of the Infinite Geometric Series 4/3 , 8/3 , 16/3 , 32/3 , 64/3

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