7/11 of a class walk to school. What fraction of the class did not walk to school
1 answer:
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Answer:
Step-by-step explanation:
Using order of operations, the first thing to be calculated would be .
That would turn our equation into this:
You can then calculate left-to-right as usual to get the answer 10.
Prove:
Using mathemetical induction:
P(n) =
for n=1
P(n) = = 6
It is divisible by 2 and 3
Now, for n=k,
P(k) =
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) =
P(k+1) =
P(k+1) =
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.