1. t n − 1 = ( t − 1 ) ( t n − 1 + t n − 2 + ⋯ + t + 1 ) t^{n}-1=(t-1)(t^{n-1}+t^{n-2}+\cdots+t+1) tn−1=(t−1)(tn−1+tn−2+⋯+t+1) 2.等比数列求和公式: S n = n ∗ a 1 q = 1 S_{n}=n*a_{1}~~~~q=1 Sn=n∗a1 q=1 S n = a 1 + a 1 q + ⋯ + a 1 q n = a 1 ( 1 − q n ) 1 − q = a 1 − a n ∗ q 1 − q S_{n}=a_{1}+a_{1}q+\cdots+a_{1}q^{n}=\frac{a_{1}(1-q^{n})}{1-q}=\frac{a_{1}-a_{n}*q}{1-q} Sn=a1+a1q+⋯+a1qn=1−qa1(1−qn)=1−qa1−an∗q
---------想到再添加------------- 不记得写这个是来干嘛的了,哈哈哈哈哈哈 -----------------2018.12.24-------------------------