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the general form of a geometric sequence is written as $a_n = a \\cdot …

Question

the general form of a geometric sequence is written as $a_n = a \cdot r^{(n - 1)}$, where $a$ is the \boxed{} term.

Explanation:

Step1: Recall Geometric Sequence Formula

In the geometric sequence formula \( a_n = a \cdot r^{(n - 1)} \), when \( n = 1 \), we have \( a_1 = a \cdot r^{(1 - 1)} = a \cdot r^0 = a \).

Step2: Identify the Term for \( a \)

Since when \( n = 1 \), the formula gives the first term of the sequence, \( a \) corresponds to the first term.

Answer:

first