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An alternate solution<a href="https://filedb.experts-exchange.com/incoming/2015/10_w44/979221/Series.PNG" target="_blank" title="Equivalent to 4th degree polynomial passing through the given points. (9 KB)"><img alt="Equivalent to 4th degree polynomial passing through the given points." class="file-block lazyload" style="max-width: 710px;" data-src="https://filedb.experts-exchange.com/incoming/2015/10_w44/979221/Series.PNG" /></a><br />
The next point can be any value you like, and you can find a 5th degree polynomial that will pass through them all. &nbsp;That gives an infinite number of solutions that pass through the first five points. &nbsp;And there are infinities of infinities more.
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An alternate solutionEquivalent to 4th degree polynomial passing through the given points.https://filedb.experts-exchange.com/incoming/2015/10_w44/979221/Series.PNG
The next point can be any value you like, and you can find a 5th degree polynomial that will pass through them all.  That gives an infinite number of solutions that pass through the first five points.  And there are infinities of infinities more.

Equivalent to 4th degree polynomial passing through the given points.

Series.PNG

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I went with 13 before you guys answered. Thank you for the confirmation. BTW, I appreciate your speedy answers
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I went with 13 before you guys answered. Thank you for the confirmation. BTW, I appreciate your speedy answers

Here is the polynomial . . . .https://filedb.experts-exchange.com/incoming/2015/10_w44/979341/Polynomial.PNG

Polynomial.PNG

what is the next number in this series

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