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Still more Fibonacci relationships. By experimenting with numerous examples in search of a pattern, determine a formula for
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- John knows that multiplying a number by — 1 merely changes the sign ofthe number. He reasons that multiplying a number by an even power of — 1 will change the sign of the number an even number of times. Heconcludes that this is equivalent to multiplying a number by + 1 , so that every even power of -1 is equal to a +1?arrow_forwardLeonhard Euler approached negative numbers by describing how they "ought to" behave arithmetically in relation to the known and accepted behavior of positive numbers. Justify Euler's claim that -a times -b should be the opposite of a times -b. What does "opposite" mean in this context? How does previous part imply that the product of two negative numbers must be positive? How should a times -b be related to -a times b? Why?arrow_forwardI found this question on the internet. Can this be calculated P(A|B) and P(Ac|Bc)? I am used to having another number.. usually a total of population to create a chart. A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 90% of the time if the person has the virus and 5% of the time if the person does not have the virus. (This 5% result is called a false positive.) Let A be the event the person is infected and B be the event the person tests positive.arrow_forward
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