Algebra Examples

$\frac{1}{3}$ ,

$\frac{2}{3}$ ,

$\frac{4}{3}$ ,

$\frac{8}{3}$ ,

$\frac{16}{3}$

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