a+a*r+a*r^2+...+a*r^n
a = first number
r = ratio
n = "number of terms"-1
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what is the recursive formula for this geometric sequence?
un = u0*rn for n = 1,2,3, ... where r is the constant multiple.
Yes, that's what a geometric sequence is about.
A geometric sequence is : a•r^n while a quadratic sequence is a• n^2 + b•n + c So the answer is no, unless we are talking about an infinite sequence of zeros which strictly speaking is both a geometric and a quadratic sequence.
It is called arithmetico-geometric sequence. I have added a link with some nice information about them.