Find the next term in the series given below: 6, 13, 27, 55, 111, ?
2022
Find the next term in the series given below:
6, 13, 27, 55, 111, ?
Answer: C. 223 — ConceptA number-series rule must reproduce every consecutive transition, not only the final jump. For a multiply-and-add pattern, the same multiplier and…
- A.
333
- B.
166
- C.
223
- D.
222
Attempted by 4 students.
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Correct answer: C
Concept
A number-series rule must reproduce every consecutive transition, not only the final jump.
For a multiply-and-add pattern, the same multiplier and constant offset are applied to each preceding term.
Application
Start with 6: 6 × 2 + 1 = 13.
Continue from 13: 13 × 2 + 1 = 27.
Continue from 27: 27 × 2 + 1 = 55.
Continue from 55: 55 × 2 + 1 = 111.
Apply the same operation once more: 111 × 2 + 1 = 223.
Cross-check
The successive differences are 7, 14, 28, and 56. Each difference doubles, so the next difference is 112; therefore, 111 + 112 = 223.
Result
Therefore, the next term is 223.