Answer:
The statement is true for every n between 0 and 77 and it is false for 
Step-by-step explanation:
First, observe that, for n=0 and n=1 the statement is true:
For n=0: 
For n=1: 
From this point we will assume that 
As we can see, 
and 
. Then,
Now, we will use the formula for the sum of the first 4th powers:
Therefore:
and, because 
,
Observe that, because 
and is an integer,
In concusion, the statement is true if and only if n is a non negative integer such that 
So, 78 is the smallest value of n that does not satisfy the inequality.
Note: If you compute 
for 77 and 78 you will obtain:
25 has 3 factors: 1, 5 and 25. Only those 3 numbers can be evenly divided into 25. 1 is a factor for every number, 5 can be divided into 25, 5 times and a number is always a factor of itself as well.
Linear, because the points (1,8) (2,6) (3,4) etc are decreasing at a constant rate of -2.
1m = 100 cm
so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm
perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm
total area of the pitch and seating area :
= 12,000 + 6,600 + 3,600 + 628.32 = 22,828.32<span> cm
answer
</span>22,828.32 cm<span>
</span>
