<h2>
Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:
where n is a positive integer.
then we have:
Hence, the result is true for n=1.
- Let us assume that the result is true for n=k
i.e.
- Now, we have to prove the result for n=k+1
i.e.
<u>To prove:</u>
Let us take n=k+1
Hence, we have:
( Since, the result was true for n=k )
Hence, we have:
Also, we know that:
(
Since, for n=k+1 being a positive integer we have:
)
Hence, we have finally,
Hence, the result holds true for n=k+1
Hence, we may infer that the result is true for all n belonging to positive integer.
i.e.
where n is a positive integer.
When two variables have an inverse relationship, the slope is negatively correlated.
Answer:
D. Time; amount; $2800
I hope this is right because I was looking for the answer to the same question and this is the solution I came up with.
Step-by-step explanation:
Time is the independent variable because it is the variable that is changed.
The Amount (dollars) is the dependent variable because it is effected by the independent variable.