Question

(Picture) INFINITE SEQUENCES AND SERIES PLEASE HELP!!

Answer 1

Answer:

C) $x=\frac{17}{33}$

Step-by-step explanation:

0.51 repeating decimal

x= 0.51515151

multiply by 100 on both sides

100x = 51.515151.........

     x=    0.515151...............

--------------------------------------------(subtract)

   99x = 51

divide by 99 on both sides

$x=\frac{51}{99}$

divide both sides by 3

$x=\frac{17}{33}$