The equation of a circle with center and radius
is
In your case,
Plug these values into the generic formula and you'll get your equation.
Convert a distance of 42 feet into yards.
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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