Challenge #4

Posted on May 3, 2006 by Brent

Another sequence-related challenge for your sequencing pleasure. For those of you in my Elementary Functions class, this is extra credit. (Hence, if you post a comment with your solutions, please refrain from posting an explanation along with it.)

  1. Find the sum of the first 500 terms of this series:

    1 + 3 + 7 + 12 + 19 + 27 + 37 + 48 + \cdots

  2. Find the sum of the first 100 terms:

    \frac{1}{2} + \frac{1}{6} + \frac{1}{12} + \frac{1}{20} + \frac{1}{30} + \frac{1}{42} + \cdots

About Brent

Associate Professor of Computer Science at Hendrix College. Functional programmer, mathematician, teacher, pianist, follower of Jesus.
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1 Response to Challenge #4

  1. Pingback: Challenge #4 Solution, Part II « The Math Less Traveled

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