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 dive
rges. Summation from n equals 0 to infinity (StartFraction 9 Over 7 Superscript n EndFraction plus StartFraction 3 Over 5 Superscript n EndFraction )
1 answer:
Answer:
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
You might be interested in
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
Answer:
y=3x+1
Step-by-step explanation:
x is the weeks and y is the final product
we have the following:

solving for b:

therefore, the answer is 16
1 is B
2 is A
3 is E
4 is C
5 is D
Answer:
165
Step-by-step explanation: