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| 1. |
Find `n ,`if`(n+2)! =2550xxn !`(ii) `(n+1)! =12xx(n-1)!` |
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Answer» 1)`(n+2)! =2550*n!` `(n+2)(n+1)n! =2550(n!)` `(n+2)(n+1)=2550` `n^2+3n+2=2550` `n^2+3n-2548=0` `n=(-3pmsqrt(9+4(2548)))/2` `n=(-3pmsqrt(10201))/2` `n=(-3pm101)/2` `n=(101-3)/2=98/2=49` 2)`(n+1)! =12(n-1)!` `(n+1)n(n-1)! =12(n-1)!` `n^2+n-12=0` `(n+4)(n-3)=0` `n=-4,3` n can not be -4 n=3. |
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