Multiple choice general knowledge math & puzzles

What is the next missing number in this logical series? 1, 2, 6, 42, 1806,___?

  1. 3748832

  2. 3263442

  3. 3148374

  4. 3383834

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The pattern is $x_{n} = x_{n-1} \times (x_{n-1} + 1)$. Specifically: $1 \times (1+1) = 2$; $2 \times (2+1) = 6$; $6 \times (6+1) = 42$; $42 \times (42+1) = 1806$. The next term is $1806 \times 1807 = 3263442$. This recursive growth explains the rapid increase in values.