Find the Sum of the Infinite Geometric Series 1 , square root of 2 , 2 , 2 square root of 2

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 ${\displaystyle \sqrt{2}}$ gives the next term. In other words, ${\displaystyle a_n=a_1{r}^{n-1}}$.