Find the next term in the series given below.2, 4, 7, 12, 19, 30, ?41434244
Question
Find the next term in the series given below.2, 4, 7, 12, 19, 30, ?41434244
Solution 1
The given series is 2, 4, 7, 12, 19, 30.
To find the pattern, let's look at the differences between consecutive terms:
4 - 2 = 2 7 - 4 = 3 12 - 7 = 5 19 - 12 = 7 30 - 19 = 11
The differences between the terms are not constant, but they are increasing. They are increasing by 1, 2, 2, 4.
If we continue this pattern, the next difference should be 4 + 4 = 8.
So, the next term in the series should be 30 + 8 = 38.
Solution 2
The given series is 2, 4, 7, 12, 19, 30.
To find the pattern, let's look at the differences between consecutive terms:
4 - 2 = 2 7 - 4 = 3 12 - 7 = 5 19 - 12 = 7 30 - 19 = 11
The differences between the terms are not constant, but they are increasing. They are increasing by 1, 2, 2, 4.
If we continue this pattern, the next difference should be 4 + 3 = 7.
So, the next term in the series should be 30 + 7 = 37.
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