Today we continued our focus on arithmetic sequences. We proved that sequences were arithmetic by showing that for any 2 consecutive terms, tn and tn+1 , their difference was a real number. (See the first 3 slides)
Then we discussed the three ways to find the nth term of a sequence:
1) Write out all previous terms
2) Find the explicit definition (formula) and substitute (slide 4)
3) How many jumps? (slides 5,6)
We ran out of time before exploring the third method. We will do that tomorrow.
Slide 7 shows a problem about a geometric sequence (what’s that?) to try at home. Slide 7 was supposed to be that problem but the slide shows a different problem. The problem that we were to try was the following:
{-2, 6, -18, 54, …} is a geometric sequence.
a) Find the next term
b) Find the 10th term.
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The homework on the board was: Read pgs. 473-476, problems pg. 476 1-9 odd, 17-41 odd.
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