等差数列{an}中,已知a1=1/3,a2+a5=4,an=33,则n等于多少为什麽用对称设法,a1=a-5d,a2=a-3d,a3=a-d,a4=a+d,a2+a4=4=2a,a=2,d=(a-a1)/5,d=1/3,d=2/3

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 10:07:14
等差数列{an}中,已知a1=1/3,a2+a5=4,an=33,则n等于多少为什麽用对称设法,a1=a-5d,a2=a-3d,a3=a-d,a4=a+d,a2+a4=4=2a,a=2,d=(a-a1)/5,d=1/3,d=2/3

等差数列{an}中,已知a1=1/3,a2+a5=4,an=33,则n等于多少为什麽用对称设法,a1=a-5d,a2=a-3d,a3=a-d,a4=a+d,a2+a4=4=2a,a=2,d=(a-a1)/5,d=1/3,d=2/3
等差数列{an}中,已知a1=1/3,a2+a5=4,an=33,则n等于多少
为什麽用对称设法,a1=a-5d,a2=a-3d,a3=a-d,a4=a+d,a2+a4=4=2a,a=2,d=(a-a1)/5,d=1/3,d=2/3

等差数列{an}中,已知a1=1/3,a2+a5=4,an=33,则n等于多少为什麽用对称设法,a1=a-5d,a2=a-3d,a3=a-d,a4=a+d,a2+a4=4=2a,a=2,d=(a-a1)/5,d=1/3,d=2/3
不用对称设法也可.
a(n) = 1/3 + (n-1)d,
4 = a(2)+a(5) = 1/3 + d + 1/3 + 4d = 2/3 + 5d,d = 2/3.
a(n) = 1/3 + 2(n-1)/3,
33 = 1/3 + 2(n-1)/3,
99 = 1 + 2(n-1),
n = 98/2 + 1 = 50