Find the next term in the list below.2, 5, 9, 14, 20, …Group of answer choices22272625
Question
Find the next term in the list below.2, 5, 9, 14, 20, …Group of answer choices22272625
Solution
The pattern in this sequence is that each term increases by an increment that is one greater than the increment of the previous term.
Here's how:
- The difference between 5 and 2 is 3.
- The difference between 9 and 5 is 4.
- The difference between 14 and 9 is 5.
- The difference between 20 and 14 is 6.
So, the next difference should be 7.
Adding 7 to the last term (20) gives us 27.
So, the next term in the sequence is 27.
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