Chapter 11.2 homework: Intro to Series
The usual even/odd policy applies.
Drill:
#4 sum of (2n^21)/(n^2+1)
#6 sum of (0.6)^(n1)
#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)^(n1) )
#18 sum 1/sqrt(2)^n
#20 sum (e^n) /( 3^(n1) )
#26 sum (1+3^n) / 2^n
#28 sum (0.8^(n1)  (0.3)^n)
#38 sum ln(n/(n+1))
#48 sum (x4)^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
onceyou have to apply it to each term, then resum.
For related reading, see:
http://www.maa.org/joma/Volume7/Styer/index.html
and read below about a superhigh 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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 Summation, Mathematical notation

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