整指數律的答案

2009-09-05 5:06 am
要以下的過程和答案

1)3^n+1.3^n+2(分子)
3^2n+1(分母)

2)3^n+1.3^n-1(分子)
2.3^n(分母)

3)5^n+2 -5^n(分子)
12.5^n(分母)

回答 (1)

2009-09-05 6:10 am
✔ 最佳答案
1)3n+1.3n+2 / 32n+1
= 3(n + 1) + (n + 2) - (2n + 1)
= 3n + n - 2n + 1 + 2 -1
= 32
= 9
2) 3n+1.3n-1 / (2.3n)
= 3(n + 1) + (n - 1) - n / 2
= 3n + n - n + 1 - 1 / 2
= 3n / 2
3) (5n+2 - 5n ) / (12.5n)
= [(52)(5n) - 5n] / [12(5n)]
= [25(5n) - 5n] / [12(5n)]
= [24(5n)] / [12(5n)]
= 2


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