Re: [中學] 數列級數
※ 引述《dreamer15 ()》之銘言:
: 一數列{a(n)} 第n項a(n)為一個三次多項式,若a(2011)=2 a(2012)=0 a(2013)=1
: a(2014)=1 求a(2015)=?
2(x-2012)(x-2013)(x-2014) (x-2011)(x-2012)(x-2014)
a(x) = ________________________ + ________________________
(-1)(-2)(-3) (2)(1)(-1)
(x-2011)(x-2012)(x-2013)
+ __________________________
(3)(2)(1)
2(3)(2)(1) (4)(3)(1) (4)(3)(2)
a(2015) = __________ + __________ + __________
-6 -2 6
= -2 - 6 + 4 = -4
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