等差数列习题【求解析】
问题描述:
等差数列习题【求解析】
1、在等差数列{a(n)}中,已知a(1)=1/3,a(2)+a(5)=4,a(n)=33,求n.【答案50】2、已知数列a,x,b,2x依次成等差数列,则b比a=【答案3比1】3、等差数列{7n+105 }中在区间[300,500]之间的项数为【答案29】
答
(1)a2 = a1 + da5 = a1 + 4da2 + a5 = 2a1 + 5d = 45d = 4 - 2a1 = 10/3d = 2/3an = a1 + (n - 1)d= 1/3 + 2(n - 1)/3= (2n - 1)/3 = 332n - 1 = 99n = 50(2)a,x ,b ,2x .依次成等差数列b=(2X+X)/2=3/2 X同理:X=(a+...