Find a compact form for generating function of the sequence 1, 8,

The generating function is where

with for .

Recall that for , we have

Taking the derivative gives

Taking the derivative again, we get

Take the derivative one last time to get

So the generating function is

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.