2. Determine whether each series is arithmetic, geometric, or neither. If the series is geometric, calculate the sum of the first ten terms. If it is arithmetic, state the common difference.
c) $9+45+225+1125+\ldots$

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Answer

$\boxed{\text{The series is neither arithmetic nor geometric.}}$

Steps

Step 1 ：Determine whether each series is arithmetic, geometric, or neither.

Step 2 ：In an arithmetic series, the difference between consecutive terms is constant.

Step 3 ：In a geometric series, the ratio of consecutive terms is constant.

Step 4 ：In this series, neither the difference nor the ratio is constant.

Step 5 ：$\boxed{\text{The series is neither arithmetic nor geometric.}}$