Help on this to please
2 answers:
<h2>Finding the slope of a line given the graph</h2><h3>Answer:</h3>
7)
8)
<em>Please refer to my Answer from this question to know more about the slope of a line: <u>brainly.com/question/24599351</u></em>
In graph 7, we can see that the points, and
are on the line so these can be our points
and
. Now we can find the slope.
The slope of line in graph 7 is .
In graph 8, we can see that the points, and
are on the line so these can be our points
and
. Now we can find the slope.
The slope of line in graph 8 is .
You might be interested in
<h2>Answer with explanation:</h2>
We are asked to prove by the method of mathematical induction that:
where n is a positive integer.
- Let us take n=1
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.