The poduct of four consecutive natural numbers plus one is
Correct Answer: Description for Correct answer:
Product of four consecutive numbers plus one is always a square
Illustration 1 Let four consecutive numbers be 3, 4, 5 and 6.
= \( \Large (3\times 4\times 5\times 6) \)+1=361=\( \Large 19^{2} \)
Illustration 2 Let four consecutive numbers be 9, 10, 11 and 12.
= \( \Large (9\times 10\times 11\times 12) \)+1
= 11881 = \( \Large 109^{2} \)
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