Question

Find the next number in the sequence:
0 , 2 , 24 , 252 , ___?

Answer 1

the next number is 3120.

Answer 2

Answer:

The next number in the sequence: 0 , 2 , 24 , 252 , ___ = 3120

Step-by-step explanation:

Given sequence is 0 , 2 , 24 , 252 , ___

To find,

The fifth term of the sequence

Solution:

First term = 0 = 1¹ - 1 = 0

Second term = 2 = 2² - 2 = 2

Third term = 3³- 3 = 27 - 3 = 24

Fourth term = 4⁴ - 4 = 256 - 4 = 252

The nth term of this sequence = nⁿ - n

The fifth term = 5⁵ - 5 = 3125 - 5 = 3120

∴The next number in the sequence: 0 , 2 , 24 , 252 , ___ = 3120

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