Online Course Discussion Forum

Math Challenge I-B, Counting and probability

 
 
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Math Challenge I-B, Counting and probability
by kelson jin - Tuesday, 7 February 2023, 9:14 PM
 

Could you please explain in our next class how to do 7.19 and the problems relating to that, when I reviewed the video I didn't see any examples. Thank you.

 
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Re: Math Challenge I-B, Counting and probability
by John Lensmire - Wednesday, 8 February 2023, 12:34 PM
 

I can definitely pass the word along.

In the meantime, the Fibonacci is a famous sequence that starts with $0, 1$ (or sometimes $1, 1$) and then each term afterwards is the sum of the previous two. Thus, if the sequence starts $0$, $1$, then the next term is $0+1 = 1$, the term after is $1+1 = 2$, then $1+2 = 3$, etc. For example, the first ten terms are then $$0,1,1,2,3,5,8,13,21,34.$$Note that the starting values are very important. For the "Lucas Sequence" the rule that "each term is the sum of the previous two" is still true, except we now start with a different first two values of $2$, $1$. Thus, the next term is $2+1=3$, then $1+3=4$, then $3+4=7$, etc.