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What is the 16th number of the series 2, 5, 8, 11...

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needyourhelp | Student, Kindergarten | eNoter

Posted March 24, 2012 at 3:32 PM via web

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What is the 16th number of the series 2, 5, 8, 11...

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beckden | High School Teacher | (Level 1) Educator

Posted March 24, 2012 at 3:42 PM (Answer #1)

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`a_n = a_(n-1) + 3`

This is an arithmetic series

`a_n = 3(n-1)+2 = 3n - 3 +2 = 3n - 1`

So

`a_16 = 3(16-1)+2 = 45+2 = 47`

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