1-For-n-N-define-s-n-1-2-2-n-2-2-n-1-Which-of-the-following-is-false-for-some-values-of-n-N-A-3-s-n-B-7-s-n-C-s-n-s-n-1-D-s-n-2-gt-s-n-1-E-12s-1-s-2-s-n-lt-s-n-1-

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Question Number 128232 by math35 last updated on 05/Jan/21

1.For n∈N,define s_n =1+2^2^n +2^2^(n+1) .Which of the following is false for some values of n∈N? A.3∣s_n B.7∣s_n C.s_n ∣s_(n+1) D.s_n ^( 2) >s_(n+1) E.12s_1 s_2 ...s_n <s_(n+1)

$$\mathrm{1}.\mathrm{For}\:\mathrm{n}\in\mathbb{N},\mathrm{define}\:\:\mathrm{s}_{\mathrm{n}} =\mathrm{1}+\mathrm{2}^{\mathrm{2}^{\mathrm{n}} } +\mathrm{2}^{\mathrm{2}^{\mathrm{n}+\mathrm{1}} } .\mathrm{Which}\:\mathrm{of}\: \\ $$$$\mathrm{the}\:\mathrm{following}\:\mathrm{is}\:\mathrm{false}\:\mathrm{for}\:\mathrm{some}\:\mathrm{values}\:\mathrm{of}\:\mathrm{n}\in\mathbb{N}? \\ $$$$\mathrm{A}.\mathrm{3}\mid\mathrm{s}_{\mathrm{n}} \\ $$$$\mathrm{B}.\mathrm{7}\mid\mathrm{s}_{\mathrm{n}} \\ $$$$\mathrm{C}.\mathrm{s}_{\mathrm{n}} \mid\mathrm{s}_{\mathrm{n}+\mathrm{1}} \\ $$$$\mathrm{D}.\mathrm{s}_{\mathrm{n}} ^{\:\mathrm{2}} >\mathrm{s}_{\mathrm{n}+\mathrm{1}} \\ $$$$\mathrm{E}.\mathrm{12s}_{\mathrm{1}} \mathrm{s}_{\mathrm{2}} …\mathrm{s}_{\mathrm{n}} <\mathrm{s}_{\mathrm{n}+\mathrm{1}} \\ $$

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1-For-n-N-define-s-n-1-2-2-n-2-2-n-1-Which-of-the-following-is-false-for-some-values-of-n-N-A-3-s-n-B-7-s-n-C-s-n-s-n-1-D-s-n-2-gt-s-n-1-E-12s-1-s-2-s-n-lt-s-n-1-

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