<h2>
Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:

where n is a positive integer.
then we have:

Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.

- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u>  
Let us take n=k+1
Hence, we have:

( Since, the result was true for n=k )
Hence, we have:

Also, we know that:

(
Since, for n=k+1 being a positive integer we have:
 )
  )
Hence, we have finally,

Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
 where n is a positive integer.
  where n is a positive integer.
 
        
        
        
Answer:
19/20 is the correct answer
 
        
                    
             
        
        
        
Answer:
4/12 or 1/3
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
The correct answer is C. 
Step-by-step explanation:
First, we can eliminate A and D since it is obviously only 36 months. 
Note that the question asks what can be interpreted from the <em>range</em> of the graph. 
The range is the number of users in thousands (per month) (as can be seen from the side title). 
While B is technically correct, it wrongly interprets the range. C is the best choice. 
The correct answer is C. 
 
        
             
        
        
        
Answer:
hello good morning.have a nice day