Mathematics, 05.05.2020 20:45 shaelyn0920
Q1915 Points Define a sequence a_0,a_1,a_2,\dotsa 0 ,a 1 ,a 2 ,… by a_0 = 3\text{ and } a_n = 3 + a_0 + a_1 + \dots + a_{n-1} \text{ for } n > 0.a 0 =3 and a n =3+a 0 +a 1 +⋯+a n−1 for n>0. Q19.11 Point Compute a_1a 1 , a_2a 2 , a_3a 3 , and a_4a 4 . Write down the values in the following blank parts. The first one is the value of a_1a 1 , the second one is the value of a_2a 2 , the third one is the value of a_3a 3 , and the last one is the value of a_4a 4 . You must only write down your final answer without any extra terms. For example, if your answer is 11, just write down 11 in the blank part. 6 12 24 48 Q19.25 Points Guess an explicit formula for a_na n . (This formula must give the exact value of a_na n .) You can either typeset your solution in the blank part or upload your solution to this problem. Choose FilesPlease select file(s)Select file(s) Q19.39 Points Use induction to prove that your formula in the previous part is correct. You can either typeset your solution in the blank part or upload your solution to this problem.
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Q1915 Points Define a sequence a_0,a_1,a_2,\dotsa 0 ,a 1 ,a 2 ,… by a_0 = 3\text{ and } a_n = 3 +...
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