Suppose that g 9₂ 93 is a sequence defined as follows. 3,g, 5, 39k129k 91 9k Prove that g 2 + 1 for every integer n 21.

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Suppose That G 9 93 Is A Sequence Defined As Follows 3 G 5 39k129k 91 9k Prove That G 2 1 For Every Integer N 21 1 (306.82 KiB) Viewed 21 times

Suppose that g 9₂ 93 is a sequence defined as follows. 3,g, 5, 39k129k 91 9k Prove that g 2 + 1 for every integer n 21. Proof by strong mathematical induction: Let g₁ 92 93 be the sequence defined above, and let the property P(n) be the equation 91 9n 21. Show that P(1) and P(2) are true: Select P(1) from the choices below. OP(1) 2 P(1) 9₁ 91 2+ 39 291 Select P(2) from the choices below. P(2) P(2) 92 92 391 29₂ P(1) is true because Select P(2) is true because Select- 2 for every integer k 2 3. Show that for every integer k> 20015-2020 Let k be any integer with "We must show which of the following: 9k By definition of a and-g and g₂ 15 if P(i) is true for each integer i from 2+1 (This is the inductive hypothesis. and suppose that for each integer i with which of the following is true through k, then P is true: