Which number will come next in the series given below?
2, 5, 14, 41, 122, ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 365
The terms grow about three times each step, so compare each term with three times the one before. Each term is the one before it multiplied by 3, minus 1:
\(2\times3-1=5\)
\(5\times3-1=14\)
\(14\times3-1=41\)
\(41\times3-1=122\)
\(122\times3-1=365\)
So the next number is 365.