Find the next number in the given series.16, 20, 29, 54, __________Options7097186154103
Question
Find the next number in the given series.16, 20, 29, 54, __________Options7097186154103
Solution
The pattern in the series is as follows:
- From 16 to 20, the difference is 4.
- From 20 to 29, the difference is 9.
- From 29 to 54, the difference is 25.
If we look closely, these differences are the squares of 2, 3, and 5 respectively. The next square in this pattern should be the square of the next prime number, which is 7.
So, the difference we should add to the last number in the series (54) is 7^2 = 49.
Therefore, the next number in the series is 54 + 49 = 103.
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