Answer: The proof is done below.
Step-by-step explanation: We are given to prove that the following statement is true :
"For every natural number n, is a multiple of 5."
We will prove the above statement by MATHEMATICAL INDUCTION.
Let n = 1. Then, we get
a multiple of 5.
Let n = 2. Then, we get
a multiple of 5.
Let the statement be true for n = m, where m is a natural number.
So,
for any natural number k.
Then,
which is a multiple of 5.
Therefore, if the statement is true for n = m, then it is true for n = m+1.
That is, the statement is true for all natural numbers n.
Hence proved.
Answer:
113.
Step-by-step explanation:
119 is divisible by 7.
117 is divisible by 3.
I think it's 113.
If you use your calculator to divide 113 by odd numbers up to 57 you can check if it is prime. You stop at 57 because 57*2 = 114. You need not divide by any number ending in 5 because 113 ends in 3.
I have done this and can't find a quotient that is a whole number so it must be prime (unless I've made a mistake!).
Answer:Communative
Step-by-step explanation:
Answer:
r: 4 or/and r: 3
Step-by-step explanation:
Answer:
y = 5
Step-by-step explanation:
All the sides are equal, so all the angles are equal
The angles of a triangle add to 180
180/3 = 60
Each angle is 60 degrees
8y+20 = 60
Subtract 20 from each side
8y+20-20 = 60-20
8y= 40
Divide by 8
8y/8 = 40/8
y = 5