### Home > PC > Chapter 8 > Lesson 8.2.6 > Problem 8-150

8-150.

Given the infinite sum 5 + 5*x* + 5*x*^{2} + 5*x*^{3} + ... = 10, what is the value of *x*?. Homework Help ✎

Use the infinite geometric series formula(shown below) and set it equal to 10. Then solve for *x*.

*a*_{1} = 5

5 = 10(1 − *x*)

5 = 10 − 10*x*

−5 = −10*x*