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To find the next number in any series, first you have to find out the pattern. It's not hard, really - just go through addition, subtraction, division, and multiplication and see which one fits. Sometimes they switch with every other one, so just be on the look out. It takes practice to get the hang of this.

For 1 1 2 4 5 25, the only thing that makes sense for the first one (1 to 1) is division by one, multiplication by one, or squaring one. Neither of this works for the next one (1 to 2), so move on to the third (2 to 4). The only one that works is squaring two.

Now you have that every other number is squared.

Then look at the pattern you haven't figured out (1 to 2, 4 to 5, 25 to ?). Now it's pretty obvious that the pattern is squaring the number, then adding one, and rotating them from there.

5 was squared to 25, so we have to add one.

Therefore, the next number would be 26.

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Q: What is the next number in the series 1 1 2 4 5 25?
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