Given Series

1. Given number series: 14, 28, 20, 40, 32, 64, ?

Question

Determine the next term in the series.

Answer

56.

Solution

1. Analyze the operations connecting alternate terms or consecutive pairs:
2. 14 × 2 = 28
3. 28 - 8 = 20
4. 20 × 2 = 40
5. 40 - 8 = 32
6. 32 × 2 = 64
7. Pattern rule alternates between multiplying by 2 (× 2) and subtracting 8 (- 8).
8. Next operation is -8.
9. Next term = 64 - 8 = 56.