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find the nth term: 1, 2, 6, 24, 120

Question

find the nth term: 1, 2, 6, 24, 120

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Solution

The given sequence is 1, 2, 6, 24, 120.

This sequence appears to be a factorial sequence.

The factorial of a number n, denoted by n!, is the product of all positive integers less than or equal to n.

For example, 5! = 54321 = 120.

Let's see if this pattern holds for the given sequence:

1 = 1! 2 = 2! 6 = 3! 24 = 4! 120 = 5!

So, the nth term of this sequence is n!.

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