Find the missing number in the series ?
$$6,49,305,?,6179,18560,37147$$
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136579815457466500227. No results on OEIS, as far as my search goes. – Sarvesh Ravichandran Iyer Sep 26 '17 at 17:01
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1Any series can be completed by inserting any number. I could just claim those are what a polynomial of degree $n-1$ goes through on the first $n$ integers, with $n$ the number of points I have given. – Omry Sep 26 '17 at 17:11
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Did I guess it right ? – Peter Sep 26 '17 at 17:16
1 Answers
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$$6\cdot 7+7=49$$
$$49\cdot 6+11=305$$
$$305\cdot 5+15=\color\red {1540}$$
$$\color\red {1540}\cdot 4+19=6179$$
$$6179\cdot 3+23=18560$$
$$18560\cdot 2+27=37147$$
Peter
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The patterns in $7,6,5,4,3,2$ and $7,11,15,19,23,27$ are not too hard to find :) – Peter Sep 26 '17 at 17:17