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, <em>a n +a1 ⋅ r n -1</em><em> </em>
Geometric Sequence:<em> </em><em>r = 2</em>
The series given has a value of<em> </em><em>r </em>such that<em>r > 1 or
r < − 1.</em>Therefore, the infinite sum cannot be calculated.<em>
</em>
