Newton binomial general term formula

Observing the terms of development of (a + b)no, we note that each of them is of the form .

  • When p = 0 we have the 1st term:

  • When p = 1 we have the 2nd term:

  • When p = 2 we have the third term:

  • When p = 3 we have the 4th term:

  • When p = 4 we have the 5th term:

We then realize that any term T order p + 1 can be expressed by

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