Use the table to work out the values of
1 answer:
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Answer:
x = 12
Step-by-step explanation:
x + 3 =
x + 1
multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions
3x + 18 = 4x + 6 ( subtract 3x from both sides )
18 = x + 6 ( subtract 6 from both sides )
12 = x
<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.