Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?

Given data

• Sequence: 14, 28, 20, 40, 32, 64, ...

Concept/ApproachTwo-step repeating pattern: multiply by 2, then subtract 8.

Step-by-step calculation14 × 2 = 2828 − 8 = 2020 × 2 = 4040 − 8 = 3232 × 2 = 64Next: 64 − 8 = 56

Verification/AlternativeOdd-index terms are doubled to get the next, then 8 is subtracted to get the following term.

Common pitfalls

• Continuing to double after 64 and ignoring the alternating subtraction.

Final Answer56