ashley is the utilities manager at a paper mill. she's watching over one of her holding tanks. it takes 4/5 of an hour to fill 1
/2 the tank. at this rate, how many holding tanks will she fill in one hour?
2 answers:
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Answer:
Step-by-step explanation:
To prove that is a multiple of 7.
Proof by induction:
Let n =1. Then we have 8-1 =7 is a multiple of 7
Thus the P(1) is true.
Let us assume that P(n) is true.
= 7l is true for some integer l
To check for P(n+1)
=LHS
=
Thus we find that this is also a multiple of 7.
If true for n, then true for n+1
Hence we find that since true for 1, we have it is true for all natural numbers.