題組內容
題目一:


為非負整數,請回答下列問題:
貳、非選擇題 4 題【其中有 3 題(配分 20 分)、1 題(配分 10 分),合計 70 分】 (一)請計算 T(5)的值?【5 分】
詳解 (共 4 筆)
詳解
T(2) = T(2-2) + 2T(2-1) = T(0) + 2T(1) = 0 + 2*1 = 2
T(3) = T(3-2) + 2T(3-1) = T(1) + 2T(2) = 1 + 2*2 = 5
T(4) = T(4-2) + 2T(4-1) = T(2) + 2T(3) = 2 + 2*5 = 12
T(5) = T(5-2) + 2T(5-1) = T(3) + 2T(4) = 5 + 2*12 = 29
A:T(5) = 29
詳解
T(0) = 0
T(1) = 1
T(2) = 2
T(3) = 5
T(4) = 12
T(5) = 29
詳解
T(5) = T(3) + 2T(4) = 5+2*12 = 29
T(4) = T(2) + 2T(3) = 2+2*5 = 12
T(3) = T(1) + 2T(2) = 1+2*2 = 5
T(2) = T(0) + 2T(1) = 0+1*2 = 2
Ans:T(5) = 29
詳解
T(2)=丅(2-2)+2T(2-1)=丅(0)+2丅(1)=0+2x1=2
T(3)=丅(3-2)+2T(3-1)=丅(1)+2丅(2)=1+2x2=5
T(4)=丅(4-2)+2T(4-1)=丅(2)+2丅(3)=2+2x5=12
T(5)=丅(5-2)+2T(5-1)=丅(3)+2丅(4)=5+2x12=29