15. Show that nr-1 + 2nr + nr+1 = n+2r+1 and interpret your result on the entries in Pascal's tr

Name: 15. Show that nr-1 + 2nr + nr+1 = n+2r+1 and interpret your result on the entries in Pascal's triangle.
Uploaded: 2023-07-20T07:10:46-08:00
Duration: 27 s
Channel: Numerade
Description: 15. Show that nr-1 + 2nr + nr+1 = n+2r+1 and interpret your result on the entries in Pascal's triangle.

Question

15. Show that nr-1 + 2nr + nr+1 = n+2r+1 and interpret your result on the entries in Pascal&#x27;s tr

Julian Wong · Answer

show that the left side of this equation is equal to the right side. So we&#x27;ll start on the left.

Harmender Singh Yadav · Answer

In this question we have to evaluate the expression 6, 5 by using the Pascal&#x27;s triangle. First w

Heather Zimmers · Answer

Here we see row zero. There&#x27;s a little tiny one up there through row eight of Pascal&#x27;s triangle

Harmender Singh Yadav · Answer

In this question, we have to evaluate the expression 7c4 by using the Pascal triangle. First we

Angela Guo · Answer

We wish to expand this expression here by using Pascal&#x27;s triangle to determine the coefficients.

Question

15. Show that $\binom{n}{r-1} + 2\binom{n}{r} + \binom{n}{r+1} = \binom{n+2}{r+1}$ and interpret your result on the entries in Pascal's triangle.

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