The formula for the sum of an infinite geometric series, S = StartFraction a 1 Over 1 minus r EndFraction, may be used to convert 0. ModifyingAbove 2 3 with bar to a fraction. What are the values of a 1 and r?

Explanation:

The question is incomplete and contains typing mistakes.

The correct question is:

The formula for the sum of an infinite geometric series,

             ,

may be used to convert (the the small line over 23 is used to indicate periodicity) to a fraction.

What are the values of and ?

Note that the number is equivalent to:

Where the first term is 23/100 and the following is obtained multiplying the previous term by 1/100.

Thus, that is a geometric series with

Now, use the formula to confirm:

Use a calculator to verify that 23/99 = 0.232323 . . .

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)