How come ( n + 1 </mro

Emely Baldwin 2022-05-23 Answered
How come ( n + 1 n 1 ) n = ( 1 + 2 n 1 ) n ?
I'm looking at one of my professor's calculus slides and in one of his proofs he uses the identity:
( n + 1 n 1 ) n = ( 1 + 2 n 1 ) n
Except I don't see why that's the case. I tried different algebraic tricks and couldn't get it to that form.
What am I missing?
Thanks.
Edit: Thanks to everyone who answered. Is there an "I feel stupid" badge? I really should have seen this a mile a way.
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Answers (2)

Terrance Phillips
Answered 2022-05-24 Author has 10 answers
Just write
( n + 1 n 1 ) n = ( n 1 + 2 n 1 ) n = ( 1 + 2 n 1 ) n
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Nicholas Cruz
Answered 2022-05-25 Author has 3 answers
Note that
n + 1 n 1 = n 1 + 2 n 1 = n 1 n 1 + 2 n 1 = 1 + 2 n 1 .
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