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What comes next in the series: 1, 4, 9, 16, …?a) 25b) 30c) 36d) 49

Question

What comes next in the series: 1, 4, 9, 16, …?a) 25b) 30c) 36d) 49

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Solution

The series given is a sequence of perfect squares.

Step 1: Identify the pattern in the series. The numbers are 1 (which is 1^2), 4 (which is 2^2), 9 (which is 3^2), and 16 (which is 4^2).

Step 2: Continue the pattern. The next number would be 5^2, because 5 is the next integer after 4.

Step 3: Calculate 5^2. The result is 25.

So, the next number in the series is 25. Therefore, the answer is a) 25.

This problem has been solved

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