104lab7solnsW17 - Would you like this assignment to be marked YES NO MA104 Lab Report 7 Series Name Student Number 1[5 marks Consider the series P

# 104lab7solnsW17 - Would you like this assignment to be...

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Would you like this assignment to be marked? YES NO MA104 Lab Report 7 - Series Name: Student Number: Winter 2017 1. [5marks]Consider the seriesanwherean=10n2+ 2n.(a) Use Maple to expressanas the sum of its partial fractions:convert(10/(n2+2*n),parfrac,n);an=5n-5n+ 2(b) If possible, find a formula, in closed form, for thekthpartial sumsk. Show your work. n =1 (c) Use the result in part (b) to determine whether the seriesanconverges or diverges. 2. [4marks]Suppose you and a friend take turns rolling a fair 6-sided die.The probability that the first ‘1’rolled occurs on thenthroll of the die is given by1656n-1.If you roll second (and then fourth, sixth, etc.), determine the probability that you will be the first to roll a ‘1’and win! [What you win, I’m not sure, but something significant enough to keep this game interesting!].
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