Write out the first four terms of the series to show how the series starts. Then find the sum of the series or show that it diverges. Summation from n equals 0 to infinity (StartFraction 9 Over 7 Superscript n EndFraction plus StartFraction 3 Over 5 Superscript n EndFraction )

The first four terms of the series are

= 14.25

Step-by-step explanation:

We know that

Sum of convergent series is also a convergent series.

We know that,

If the common ratio of a sequence |r| <1 then it is a convergent series.

The sum of the series is

Given series,

The first four terms of the series are

Let

   and    

Now for ,

It is a geometric series.

The common ratio of is

The sum of the series

    =10.5

Now for

It is a geometric series.

The common ratio of is

The sum of the series

    =3.75

The sum of the series is

                                        =

                                       =10.5+3.75

                                       =14.25

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

step-by-step explanation:

is their an equation anywhere i can take a   look at it and see if i am right.