The average rate of change of the function at the interval is -8
<h3>How to determine the average rate of change?</h3>The table that completes the question is added as an attachment
From the table, we have:
f(5) = -26
f(3) = -10
The average rate is then calculated as:
Rate = (f(5) - f(3))/(5 -3)
This gives
Rate = (-26 + 10)/(5 -3)
Evaluate
Rate = -8
Hence, the average rate of change of the function is -8
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Answer:
Option b is correct.
The common ratio for the given geometric sequence is;
Step-by-step explanation:
The given sequence is; -96, 48 , -24, 12 , -6, .....
Since, given sequence is Geometric
Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)
In general we write geometric sequence as;
where a be the first term and r is the common ratio.
On comparing the given sequence with general geometric sequence;
we get
a = -96 ......[1]
ar = 48 ......[2]
ar^2 = -24 .....[3]
and so on....
To find the common ratio i.e, r;
Divide equation [2] by [1];
Simplify:
Similarly,
by dividing the equation [3] by [2] we get;
Simplify:
As, you can see that the value of r is constant i.e, in the given sequence.
Therefore, the common ratio for the given geometric sequence is;