Hello, wonderboy1953!

The question is unanswerable . . . on several levels.What is the minimum number of members in a number group

you can comfortably have before you can say that you have a pattern?

Obviously, two terms is not enough.

. . could be the start of: .

And three terms is insufficient.

. . could be the start of: .

Perhaps four terms is enough?

With: . , we maythat we have a "doubling function",suspect

. . and that the next term is: .

But this sequence could be generated by: .

. . Hence: .

Given any terms: .

we can construct a polynomial function of degree which generates the values

and which can take onvalue for the next term,any

Theoretically, "What is the next term?" problems are meaningless.

Yet if they "play fair", they are excellent exercises in Observation.

So we trust that: . are consecutive squares,

. . . . . and that: . are consecutive triangular numbers,