Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4) 
For large n, (n+1)/n approaches 1
 [(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges
 
        
                    
             
        
        
        
 Answer:
The function  is shown by the graph below ⇒ 2nd answer
  is shown by the graph below ⇒ 2nd answer
Step-by-step explanation:
<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>
From the figure:
The curve passes through points (-2 , 0) and (2 , 2) 
∵  
∵ x = -2
- Substitute x by -2
∴ 
∴  ⇒ it is impossible no square root for (-) number
 ⇒ it is impossible no square root for (-) number
∴  is not the function shown by the graph
 is not the function shown by the graph
∵  
∵ x = -2
- Substitute x by -2
∴ 
∴ 
∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2
∵ x = 2
- Substitute x by 2
∴ 
∴ 
∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2
∴ The function  is shown by the graph below
 is shown by the graph below
 
        
             
        
        
        
Answer:
b = 50%
Step-by-step explanation:
P(Heart or Club)
= P(Heart) + P(Club)
= 13/52 + 13/52
= .25 + .25
= .5 --> 50%