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hw-11-02-series-intro

# hw-11-02-series-intro - Chapter 11.2 homework Intro to...

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Chapter 11.2 homework: Intro to Series The usual even/odd policy applies. Drill: #4 sum of (2n^2-1)/(n^2+1) #6 sum of (0.6)^(n-1) #7 sum of (1/sqrt(n) - 1/sqrt(n+1)) #10 explain the difference between sum_i a_i and sum_j a_j,... #16 sum (10^n)/( (-9)^(n-1) ) #18 sum 1/sqrt(2)^n #20 sum (e^n) /( 3^(n-1) ) #26 sum (1+3^n) / 2^n #28 sum (0.8^(n-1) - (0.3)^n) #38 sum ln(n/(n+1)) #48 sum (x-4)^n Applied: #58 Ball dropped & keeps bouncing Note: the hint about (1/2) g t^2 on part (a) really belongs on part (b), since part (a) has nothing to do with time. AND, the formula (1/2) g t^2 only applies to one bounce at a time! You can't just take the answer from part (a) and apply (1/2) g t^2 to it once--you have to apply it to each term, then re-sum. For related reading, see: http://www.maa.org/joma/Volume7/Styer/index.html and read below about a super-high bounce coefficient. #65 What is wrong with this calculation? #71 Suppose a_n > 0 and s_n <= 1000... #73 the Cantor set ------------------------- If you want more practice turning number patterns into formulas, try this: First: * Write down the problem number (e.g. 11.1#3) * DO NOT write down the formula, if the book gives one.

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hw-11-02-series-intro - Chapter 11.2 homework Intro to...

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