Question

Find the next term in the series:
4, 6, 12, 14, 28, 30, _ _

• A. 58
• B. 60
• C. 56
• D. 62
• E. 66

Hint:

When a series grows quickly but has small additions in between, check for alternating addition and multiplication.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Analyze the relationship between consecutive numbers to see if the mathematical operation changes in a repeating cycle.
Step 2: Identifying the Vector of Change:
The series uses an alternating pattern of addition and multiplication: - $4 + 2 = 6$ - $6 \times 2 = 12$ - $12 + 2 = 14$ - $14 \times 2 = 28$ - $28 + 2 = 30$
Step 3: Calculation:
Following the alternating rule (+2, $\times 2$), the next operation after $+2$ must be $\times 2$: $30 \times 2 = 60$.
Step 4: Final Answer:
The next term in the series is 60. Thus, the correct option is (b).