Find the next term in the list below.2, 5, 9, 14, 20, …Group of answer choices22272625

1. Break Down the Problem

We need to identify the pattern in the given sequence: 2, 5, 9, 14, 20, and find the next term.

2. Relevant Concepts

To find the next term, let's look at the differences between consecutive terms:

• $5 - 2 = 3$
• $9 - 5 = 4$
• $14 - 9 = 5$
• $20 - 14 = 6$

3. Analysis and Detail

From the differences, we see:

1. The first difference is $3$
2. The second difference is $4$
3. The third difference is $5$
4. The fourth difference is $6$

We notice that the differences are increasing by $1$ each time.

If we continue this pattern, the next difference should be $7$:

• The next term would be $20 + 7$.

4. Verify and Summarize

Calculating the next term: $20 + 7 = 27$ This follows the established pattern of increasing differences.

Final Answer

The next term in the sequence is 27.