Concept explainers
To Find:Check whether the given process is correct.
Explanation of Solution
Given,
For
If one cat is black, then all the cats are black (i.e. one).
So therefore,
Consider
Then one of it be black, named ‘Tadpole’. Now removing some other cat (name it- Sparky). So we have left with one cat which is Tadpole, using above
Now add the Sparky into the group and remove Tadpole, so again we have left with one cat (Sparky) which is not black. Therefore, the Sparky need not be black. So, by induction hypothesis with group of 2 cats, if one cat is black (Tadpole) then all other need not be black (Sparky).
So, the given
The given Induction Hypothesis is True for all
Chapter 12 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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