Answer with explanation:
We have to prove that, For any integer m, 2 m×(3 m + 2) is divisible by 4.
We will prove this result with the help of Mathematical Induction.
⇒For Positive Integers
 For, m=1
L HS=2×1×(3×1+2)
       =2×(5)
        =10
It is not divisible by 4.
⇒For Negative Integers
 For, m= -1
L HS=2×(-1)×[3×(-1)+2]
       =-2×(-3+2)
        = (-2)× (-1)
        =2
It is not divisible by 4.
 False Statement.
 
        
             
        
        
        
Answer:
should be 192
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Given that the number of males in the classroom is three more than twice the number of females. 
the total number of students is 57
Let x be the no of males then no of females = 
Also we have 3 more than twice no of females as

This equals x

No of males = 39, no of females = 18
 
        
             
        
        
        
Answer:
2x+1
Step-by-step explanation:
x = 1st integer
x+1 = next consecutive integer
The sum is
x+ (x+1)
Combine like terms
2x+1