Answer:
5
Step-by-step explanation:
You are looking for x so what you are really looking for is what times 4 =20 and that is 5.
5x4=20
A=84 and r=1/5
Since r, the common ratio squared is less than one, the sum will converge to a limit. Rule: if r^2<1 infinite series converges, otherwise it diverges.
Since the sum of any geometric sequence is:
s(n)=a(1-r^n)/(1-r)
And if r^2<1, (1-r^n) becomes 1-0=1 as n approaches infinity.
So whenever r^2<1 the sum of the infinite series is just:
s(n)=a/(1-r)
Since a=84 and r=1/5 this infinite series has a sum of:
s(n)=84/(1-1/5)
s(n)=84/(4/5)
s(n)=5(84)/4
s(n)=105
Combine the terms with j, so -7j+3 would be left.
Answer:
The answer is
<h2>5.83 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
W (-3,-5) and T (2,-2)
The distance between them is

We have the final answer as
<h3>5.83 units to the nearest hundredth</h3>
Hope this helps you