Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n)  =  = 6
 = 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) =  is divisible by 2 and 3 for all positive integer n.
 is divisible by 2 and 3 for all positive integer n. 
 
        
             
        
        
        
Answer:
See image below:) 
Step-by-step explanation:
 
        
                    
             
        
        
        
8.75-4.85= 3.90= cost of 6 bananas
3.9/6=0.65= cost of one banana
.65*4=2.60= cost of 4 bananas
4.85-2.60= 2.25= cost of 3 apples
2.25/3=.75= cost of an apple