Suppose that Smartphone A has 4GB RAM and 128 GB ROM, and the resolution of its camera is 14 MP; Smart-phone B has 6GB RAM and 256 GB ROM, and the resolution of its camera is 8 MP; and Smartphone C has 8GB RAM and 64 GB ROM, and the resolution of its camera is 20 MP. Determine the truth value of each of the following propositions with adequate reasoning/proof • Smartphone C has more ROM or a higher resolution camera than Smartphone B. • Smartphone B has more RAM, more ROM, and a higher resolution camera than Smartphone A. If Smartphone C has more RAM and more ROM than Smartphone B, then it also has a higher resolution camera. • Smartphone c has more RAM than Smartphone b if and only if Smartphone b has more RAM than Smartphone c.

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.