Pell's sequence is the following infinite sequence: 0,
1, 2, 5, 12, 29, 70, 169, 408,...
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Pell's sequence is the following infinite sequence: 0,1, 2, 5, 12, 29, 70, 169, 408, 985, 2378 ... first element is 0, the second is 1 and each remaining element isthe sum of twice the previous element plus the element before the previous one. (a) Write a function that receives an integer and return the Pellnumber in that position. By For example, if the input is 2, the output must be 1, if the inputis 5, the output must be 12. Present proof of desktop and its respective PrtScr for inputs: 1, 2 and 7. (b) Write a function that receives a number and returns the Pellnumber closest to the value entered. For example, if the input is 20 the output must be 12, if the inputis 21 the output must be 29, if the input is 20.5 the output must be 12. Present desktop tests and their respectivePrtScr for inputs: 49.4, 49.5, 49.6.
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