### Home > A2C > Chapter 12 > Lesson 12.4.1 > Problem 12-170

12-170.

Suppose

. Consider the infinite sequence 1 + *x*+*x*^{2}+*x*^{3}+ …. Homework Help ✎Write an expression for the sum of the sequence.

What is the result when you use polynomial division to divide 1 by 1 −

*x*? Show the first five terms of the quotient.

First find the common ratio, then use the formula for an infinite geometric series.

Look back at (a) and explore what that answer means.