A box contains several slips of paper. There is one slip for every even number between 13 and 21. Without looking, you draw one
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For this case we propose a system of equations:
x: Let the variable representing the number of children in the concert
y: Let the variable representing the number of adults at the concert
According to the assistance we have:
According to the cost we have:
Substituting the first in the second equation we have:
Thus, the concert was 375 adults.
On the other hand we have:
Thus, the concert was 1125 children.
In total they were:
people
ANswer:
The concert was 1500 people
Let denote the <em>k</em>th term of the sequence. Then
where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.
The sum of the first <em>n</em> terms is
From the formula for , we get
So we have , and
so that
.
Then the <em>n</em>th term in the sequence is