Even Number Dear!!!

Algebra Level 3

Find the 2018 2018 th term of the following series: 1 , 2018 , 4033 , 6046 , 8057 , 10066 , 12073 , . . . . 1, 2018, 4033, 6046, 8057, 10066, 12073, . . . . Note: Second term onward every term is one more than the average of the neighboring terms.


The answer is 2018.

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1 solution

X X
Apr 25, 2018

If the term is a n a_{n} ,then a n + 1 a n = 2019 2 n a_{n+1}-a_{n}=2019-2n , a 2018 = 1 + 2017 + 2015 + . . . + ( 2013 ) + ( 2015 ) = 2018 a_{2018}=1+2017+2015+...+(-2013)+(-2015)=2018

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