2n^2-1
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+9
7n
The next number in the sequence is a multiple of the number times seven, so the nth term would be 7n . 71 = 7 72 = 49 73 = 343 74 = 2,401 75 = 16,807 76 = 117,649 etc.
The difference between successive terms is 8 tn = 8n + 9 or 8(n+1)+1 where n = 1,2,3,...
t(n) = n2 + 5n - 1