SOLUTION: When you multiply any four consecutive intigers and add oneto the product,you always get a certain type of number as your result. What is the name of this certain type of number?

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Question 387136: When you multiply any four consecutive intigers and add oneto the product,you always get a certain type of number as your result. What is the name of this certain type of number?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
1*2*3*4 + 1 = 25
2*3*4*5 + 1 = 121
3*4*5*6 + 1 = 361

You always obtain a perfect square. Can you prove it? (Hint: it's just straightforward algebra. Induction also works.)