Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r) 
Where a is the first term in the series. 
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
 
        
                    
             
        
        
        
Is 15÷2345= 0.0063965......
        
                    
             
        
        
        
Answer:
C
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
1st one
Step-by-step explanation:
Since the x's for each one are going up by the same number, you are looking for a column of y's to either by going up by the same number or down by the same number.
The first table has a column of y's that look like this:  1/2 , 1 , 1  1/2,  2  
This is actually going up for 1/2 each time.
This table shows a linear function.  
 
        
             
        
        
        
Answer:
hypotenuse = aprox 18.6
Step-by-step explanation:
a^2 + b^2 = c^2
11^2 + 15^2 = c^2
346 = c^2
square root both sides
c = aprox 18.6
hope that helped!