Asked by jit

3 9 11 17 25 39 ?
Answered by Reiny
3+9 - 1 = 11
9+11 - 2 = 17
11+17 - 3 = 25
17+25 - 4 = 39

ahhh! should your last term be 38 ?
then

term<sub>n</sub> = term<sub>(n-1)</sub>+term<sub>(n-2)</sub> - (n-2) for all n> 2 , term(1) = 3 and term(2) = 9

This is called a recursion formula

If the last term is not 38, I have no idea.
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