We will continue working on sequences today:
Here are some notes. Your classwork
Arithmetic Sequences
Example:
1, 4, 7, 10, 13, 16, 19, 22, 25, ...
Its Rule is xn = 3n-2
a is the first term, and
d is the difference between the terms (called the "common difference")
Geometric Sequences
Example:
2, 4, 8, 16, 32, 64, 128, 256, ...
Its Rule is xn = 2n
a is the first term, and
r is the factor between the terms (called the "common ratio")
When r=0, we get the sequence {a,0,0,...} which is not geometric
is posted after the notes. See you at the zoom call at 1 p.m.
In an Arithmetic Sequence the difference between one term and the next is a constant. In other words, we just add some value each time ... on to infinity. This sequence has a difference of 3 between each number. In General we can write an arithmetic sequence like this: {a, a+d, a+2d, a+3d, ... } where: And we can make the rule: xn = a + d(n-1)(We use "n-1" because d is not used in the 1st term).
ying the previous term by a constant. This sequence has a factor of 2 between each number. In General we can write a geometric sequence like this: {a, ar, ar2, ar3, ... } where: Note: r should not be 0. And the rule is: xn = ar(n-1)(We use "n-1" because ar0 is the 1st term) source: https://www.mathsisfun.com/algebra/sequences-series.html
Monday 4/20 - Quantitative vs. Qualitative and Correlation vs. Causation https://youtu.be/ZtppTPL-fBQ Qualitative and Quantitative practice worksheet on the "College Readiness Math" tab Correlation worksheet on the "College Readiness Math" tab Tuesday 4/21 - Fluency Tables https://youtu.be/hPYna_KWEF0 Two-way variables worksheet on the "College Readiness Math" tab
Wednesday 4/22 - Shape of graphs https://youtu.be/pbuoYK6UGs0 Best measure of center and spreadworksheet on the "College Readiness Math" tab
Thursday 4/23 - Unit 8 Study Guide Friday 4/24 - Make up day (no classes) Make up any work or Unit 8 quiz.
Week 6
Monday 4/27 - Unit 5 Test
Tuesday 4/28 - Unit 6 Test
Wednesday 4/29 - Unit 7 Test
Thursday 4/30 - Unit 8 Test
Friday 5/1 - Make Up Day (no classes) Make up any tests you need to take.
WE ARE FINISHED!!! WE WOULD HAVE TAKEN THIS TIME TO REVIEW FOR SENIOR FINALS. LET ME KNOW IF YOU NEED HELP WITH ANYTHING.
Online Book: Khan Academy - use the button below for specific lesson. Please look at arithmetic and geometric sequences, lessons and activities (recursive and explicit for both)
Notes: Use the Anchor Charts to assist with instruction.