Answer:
we need to prove : for every integer n>1, the number 
is a multiple of 5.
1) check divisibility for n=1, 
(divisible)
2) Assume that 
is divisible by 5, 
3) Induction,
Now, 
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between 
and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.
She used 100 ml of pineapple juice.
The interior angle of a regular polygon is equal to each other since all sides of the polygon are congruent. The formula that expresses the relation of the sides of the polygon and the measurement of the interior angle is (n2)*180/n where n is 7. Each interior angle then measures 128.6 degrees.
Answer:
Vertex: 
Solutions: (0,-7), (1, -1), (2, 7)
I hope this helps!
Answer:
A triangle
Step-by-step explanation: The two squares lean against each other
