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.
312 people bought balcony seats and 396 people bought ground seats.
Answer:
7.07
Step-by-step explanation:
<h2><u>Length</u></h2>
a square has equal length on each side
hence is the perimeter is 20 it means that :
each side is 20/4 = 5
we can make a diagonal line which create 3 right angled triangles
2 sides of the triangle are 5 , this is the base and the height
to find the length we can make use of the Pythagoras theorem
c^2 = a^2 + b^2
c is the hypotenuse ( the diagonal;)
a and b are the opposite and adjacent
hence :
c^2 = 5 ^2 + 5^2
c^2 = 50
c = 
c = 7.071
to 3sf
<h3><u>diagonal length = 7.07</u></h3>
Answer:
D
Step-by-step explanation:
12 square feet
The answer is B you divide 0.035 from 16 then subtract that number with 16 with 15.44 you divide it by 0.0425 and with the answer subtract 15.44 with it