Where i put the black lines is where the points should be because there are 5 lines and the 6th one makes a whole number you would multiply 2/3 but 2 and it’ll become 4/6 and that’s why i got it on -1 4/6 and then 5/6 well i have it on there
The graph shows two exponential functions. Choose the correct statement concerning their bases
1 answer:
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<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.