If the sequence 3, 9, 27 continues by multiplying by 3, what is the next term?

If the sequence 3, 9, 27 continues by multiplying by 3, what is the next term?

• A. 81
• B. 27
• C. 72
• D. 54

Answer: (A)

Each term is found by multiplying the previous term by 3. Starting with 3, multiply by 3 to get 9, then again by 3 to get 27, and once more by 3 to get 81. So the next term is 81. This sequence is a geometric progression with ratio 3, equivalently powers of 3 (3^1, 3^2, 3^3, 3^4). The other numbers don’t follow the multiply-by-3 rule.

Each term is found by multiplying the previous term by 3. Starting with 3, multiply by 3 to get 9, then again by 3 to get 27, and once more by 3 to get 81. So the next term is 81. This sequence is a geometric progression with ratio 3, equivalently powers of 3 (3^1, 3^2, 3^3, 3^4). The other numbers don’t follow the multiply-by-3 rule.