数列{an}满足a1=1,且an=an-1+3n-2,求an

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数列{an}满足a1=1,且an=an-1+3n-2,求an

数列{an}满足a1=1,且an=an-1+3n-2,求an
数列{an}满足a1=1,且an=an-1+3n-2,求an

数列{an}满足a1=1,且an=an-1+3n-2,求an
a1=1
an = an-1 + 3n -2
an-1= an-2 + 3(n-1)-2
...
a2 = a1 + 3*2 -2
左右分别相加
an = a1 + 3*(n+n-1+...+2) - 2*(n-1)
an = 1 + 3*(n+2)*(n-1)/2 - 2*(n-1)
= 1 + (n-1)(3n/2+1)

an=1.5n2-0.5n(an=1.5乘以n的平方-0.5乘以n)