等差数列{an}中,已知a1=1⼀3,a2+a5=4,an=33,则n等于多少

2025-01-05 15:42:08
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回答1:

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