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Arithimetic sequence {\({a_n}\)}  {\(b_n \)} have integer terms, \(a_1=b_1=1  and  \(a_n*b_n =2010\) for some  \(n\). What is the largest possible value of  \(n\)?

yasbib555  Aug 9, 2018
edited by yasbib555  Aug 9, 2018
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the factors of 2010 are 67, 5, 3, 2

 

67 is a prime number so the only other option is 67 x 30.

 

but there is no N such that satisfies this with integers because of 67 being prime.

Guest Aug 10, 2018

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