To solve the problem, we need to identify the pattern in the number series and find the next number.
- Number Series: A sequence of numbers following a certain rule.
- Pattern Recognition: Analyze the differences or formulas generating the series.
2, 6, 12, 20, 30, ?
Look at the pattern in the terms:
So, the nth term = \( n \times (n+1) \)
For \( n = 6 \): \[ 6 \times 7 = 42 \]
The next number in the series is 42.
What comes next in the series?
\(2, 6, 12, 20, 30, \ ?\)