The wording of this question is a bit confusing... You can't write a sequence in sigma notation, but rather a series or sum. I think the question is asking you to write the sum of the sequence,
which would be
in sigma notation.
To do this, notice that the denominator in each term is a power of 2, starting with and ending with
. So in sigma notation, this series is
The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
<u><em>Recall</em></u>:
The area of a triangle =
<em><u>Given</u></em>:
Area of triangle =
Length of one of the legs = 3x + 1
Therefore, it means that multiplying both legs should give us:
To find the expression that models the other leg, divide by 3x + 1:
Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>
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