Answer:
x = -2
Step-by-step explanation:
f(x)= 5(x-2)
since, f(x)= -20
-20 = 5(x-2)
x-2 = -20/5
x = - 4 + 2
x = -2
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

<span>(-45 + (-12) / 2 = -28.5
</span>So the answer is -28.5