Problem: a n = 1 (n+1)! My professor said that (n+1)! factors down to (n+1)(n).

Question

Problem:     an=       1                                (n+1)! My professor said that (n+1)! factors down to (n+1)(n). If this is true, a0 = 0, but the answer in the back ofthe book says a0 = 1. Please explain. Problem:     an=       1                                (n+1)! My professor said that (n+1)! factors down to (n+1)(n). If this is true, a0 = 0, but the answer in the back ofthe book says a0 = 1. Please explain.                            (n+1)! My professor said that (n+1)! factors down to (n+1)(n). If this is true, a0 = 0, but the answer in the back ofthe book says a0 = 1. Please explain.

Explanation / Answer

(n+1)! = (n+1) (n)!                  youmissed   '!' after n so an =          1              (n+1) (n)!
a0 =          1               (0+1) (0)! a0 =          1                       since   (0) ! = 1             (1) (1) a0 = 1       answer in book is true i hope this will help you                               (0+1) (0)! a0 =          1                       since   (0) ! = 1             (1) (1) a0 = 1       answer in book is true i hope this will help you             (1) (1) a0 = 1       answer in book is true i hope this will help you

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