Problem

Find the nth term of the geometric sequence 3, 6, 12, 24, ...

Answer

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Answer

Step 3: Substitute the values into the formula. In this case, \(a_1\) is 3, r is 2, and n is the term number. So, \(a_n = 3 * 2^{(n-1)}\).

Steps

Step 1 ：Step 1: Identify the common ratio of the sequence. In this case, every term is twice the previous term, so the common ratio (r) is 2.

Step 2 ：Step 2: Use the formula for the nth term of a geometric sequence, which is \(a_n = a_1 * r^{(n-1)}\), where \(a_n\) is the nth term, \(a_1\) is the first term, and n is the term number.

Step 3 ：Step 3: Substitute the values into the formula. In this case, \(a_1\) is 3, r is 2, and n is the term number. So, \(a_n = 3 * 2^{(n-1)}\).

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