Posted by Anonymous on .
Determine the pattern: What comes next?
.1, 1, 2, 4, 7, _
.4, 9, 16, 25,_
Explain. I need help explaining. Thank you.

math 
Steve,
First looks like a sort of Fibonacci sequence, where each term is the sum of the three previous terms, making the sequence
1,1,2,4,7,13,24,44,...
However, that assumes a leading term of zero.
The leading .1 throws me off.
Or, it could be that each term is one less than a Fibonacci number:
Fib: 1 2 3 5 8 13 21 34 ...
You: 1 1 2 4 7 12 20 33 ...
The second one is obviously a sequence of perfect squares. Next is 36.