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