A geometric sequence has first term a = 3 and common ratio r = 2.
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A geometric sequence has first term $a = 3$ and common ratio $r = 2$. What is the 5th term?
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Answer: A. 48
Fifth term T_5 = a * r^(5-1) = 3 * 2^4 = 3 * 16 = 48.
Step-by-step Derivation:
Step 1: Formula for n-th term of GP: T_n = a * r^(n-1).
Step 2: T_5 = 3 * 2^(5-1) = 3 * 16 = 48.