A little math.
Number Theory
Level
2
For a positive integer n, the mean of the first n terms of a sequence is n. What is the 2018th term of this sequence?
4037
4035
2018
4036
4034
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1 solution
The sequence is { a n } n = 1 ∞
2 0 1 8 1 ∑ i = 1 2 0 1 8 a i = 2 0 1 8
2 0 1 7 1 ∑ i = 1 2 0 1 7 a i = 2 0 1 7
a 2 0 1 8 = ∑ i = 1 2 0 1 8 a i − ∑ i = 1 2 0 1 8 a i = 2 0 1 8 2 − 2 0 1 7 2 = 2 0 1 8