Sum(n=1 to infinity) ((2x+5)^n) / (n(4^n))
Can someone write out the steps to finding the center point for this power series?
The series
∑an (x-c)n has center at x=c
So, how do we massage your series into that form?
2x+5 = 2(x + 5/2)
So, your sum now is just like
2/(n*4^n) (x + 5/2)n
The center is at x = -5/2