The long side of an isosolies triangle
The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12
A(4) =13
a(1) = 1
a(2)=5
a(3)=9
a(4)=13
a(5)=17
So, the arithmetic formula is: a(n) = a(n-1) + d
If we look at the formula, the numbers change by +1, which is our d
We can test our formula by look for 2,
a(2)= a(2-1)+4
a(1)+4
1+4
a(2)=5
Even though the sequence tells us, we can test our formula anyhow
a(4)= a(4-1)+4
a(3)+4
9+4
a(4)=13
Answer:
10 green and 1 blue pencils
Step-by-step explanation:
Exactly 11 pencils were added
Blue pencils became highest, for it to be highest, it has to be more than all the other ones. So if 10 is added to the original number it will make it 13 higher than all, and the remaining one is added to green to make it 12 higher than red.
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