What is the geometric power series?

1 Answer

Dec 7, 2015

#a+ax+ax^{2}+ax^{3}+cdots#, which converges to #a/(1-x)# when #|x|<1#. More generally, you could also write #a+a(x-c)+a(x-c)^{2}+a(x-c)^{3}+cdots#, which converges to #a/(1-(x-c))=a/((1+c)-x)# when #|x-c| < 1#.

Answer link

Impact of this question

2241 views around the world

You can reuse this answer
Creative Commons License

Science

Math

Humanities

... and beyond

What is the geometric power series?

1 Answer

Related questions

Impact of this question