Find next number in this series 25,100,225,400,--
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610
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615
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625
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650
The series is squares of odd numbers: 5^2=25, 10^2=100, 15^2=225, 20^2=400. Continuing the pattern, 25^2=625. Each term increases by 5 in the base number before squaring.
To find the next number in this series, we need to observe the pattern or rule that governs the sequence. Let's look at the differences between consecutive terms:
100 - 25 = 75 225 - 100 = 125 400 - 225 = 175
From the differences, we can see that they are increasing by 50 each time. Therefore, we can predict that the next difference will be 175 + 50 = 225.
To find the next term, we add this difference to the previous term:
400 + 225 = 625
Therefore, the next number in the series is 625.
Among the given options, the correct answer is C) 625.