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 average speed of the plane between Austin and Dallas is 232 kmph
<u>Solution:</u>
Given that,
Total distance traveled by airplane = 290 km
Time taken for travel between Austin and Dallas = 1 hour 15 minute
Let us convert the time taken to hours
<em><u>The average speed is given as:</u></em>
Plugging in the values, we get,
Hence the average speed is 232 kmph
we are given that
both sides are equal
so, their length must be equal
now, we can find other side
now, we can set them equal
now, we can take square both sides
now, we can solve for p
..............Answer