Algebra Examples

$1$ , $\sqrt{2}$ , $2$ , $2 \sqrt{2}$

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 $\sqrt{2}$ gives the next term. In other words, $a_{n} = a_{1} r^{n - 1}$ .

Geometric Sequence: $r = \sqrt{2}$

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