14 Arithmetic Sequences.notebook April 23, 2014 LT: •• I can identify an arithmetic sequence. I can write and use a function for an arithmetic sequence. p.1 What is an a sequence in which each term after the first is found by arithmetic _____________a constant to the previous term. sequence? Steps for 1. Find the _____________ between the terms next to each other identifying in the sequence. This value is your constant (your slope!) sequences 2. Identify your starting value. This is your _____. as arithmetic: 3. Substitute ____ and ____ into the equation f(x) = mx + b. x y 1, 4, 7, 10, 13, ... term # Rule for Sequence (m): ______ Starting Amount (b): ______ Equation: ______________ 10th term: ______ (so x = ___ for the 10th term) 8, 6, 4, 2, 0, 2, ... Rule for Sequence (m): ______ Starting Amount (b): ______ Equation: ______________ 10th term: ______ (so x = ___ for the 10th term) 0.3, 0.4, 0.5, 0.6, ... Rule for Sequence (m): ______ Starting Amount (b): ______ Equation: ______________ Summary: 10th term: ______ (so x = ___ for the 10th term) 14 Arithmetic Sequences.notebook CW p.23 (2,5,9) April 23, 2014 P p. 24 (all) 1) 0, 4, 8, 12, ... Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 2) 9.5, 10.25, 11, .... Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 3) 4, 1, 2, 5, ... Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 4) 2, 1, 0, 1, ... Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 5) 1.5, 4, 6.5, 9, ... Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) p.2 14 Arithmetic Sequences.notebook 6) April 23, 2014 p.3 5, 10, 15, 20, 25, 30, … Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 7) 37, 31, 25, 19, 13, 7, … Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 8) 36, 23, 10, 3, … Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 9) 10th term: ___ (so x = __ for the 10th term) 53, 53, 53, 53, … Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10) 10th term: ___ (so x = __ for the 10th term) 10th term: ___ (so x = __ for the 10th term) 28, 13, 2, 17, … Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 11) 4, 24, 44, 64 Rule for Sequence (m): ______ Starting Amount (b): ____ Equation: _________ 10th term: ___ (so x = __ for the 10th term) 14 Arithmetic Sequences.notebook April 23, 2014 "Remembering" 13. Simplify when x = 17 12. What is the length between the p.4 √16 4 + x line that is formed between (3, 2) and (5, 1). d = √ (x2 x1)2 + (y2 y1)2 14. Simplify when x = 17 √16 4 + x 16. Find the product and rewrite 15. Graph the following equations: a) y = 4 and in scientific notation. y b) x = 3 3 c) y = x 1 2 x 17. Find the quotient and rewrite and in scientific notation. What kind of polygon do the three lines form? ___________________ 14 Arithmetic Sequences.notebook April 23, 2014 Today's Agenda: 0. "What students really need to hear" 1. Begin Unit 10 Sequences 2. 2nd chance at Unit 9 Test 3. Begin today's CW 14 Arithmetic Sequences.notebook 14 April 23, 2014 24 14 Arithmetic Sequences.notebook 8th grade MCA formula sheet April 23, 2014 14 Arithmetic Sequences.notebook April 23, 2014 LT: •• I can identify an arithmetic sequence. I can write and use a function for an arithmetic sequence. p.1 What is an a sequence in which each term after the first is found by arithmetic _____________a constant to the previous term. sequence? add/sub difference Steps for 1. Find the _____________ between the terms next to each other identifying in the sequence. This value is your constant (your slope!) sequences 2. Identify your starting value. This is your _____. as arithmetic: 3. Substitute ____ and ____ into the equation f(x) = mx + b. b m b x y 1, 4, 7, 10, 13, ... term # Rule for Sequence (m): ______ Starting Amount (b): ______ Equation: ______________ 10th term: ______ (so x = ___ for the 10th term) 8, 6, 4, 2, 0, 2, ... Rule for Sequence (m): ______ Starting Amount (b): ______ Equation: ______________ 10th term: ______ (so x = ___ for the 10th term) 0.3, 0.4, 0.5, 0.6, ... Rule for Sequence (m): ______ Starting Amount (b): ______ Equation: ______________ 10th term: ______ (so x = ___ for the 10th term) 14 Arithmetic Sequences.notebook NONexamples.... 1, 3, 7, 12, ... 2, 4, 8, 16, ... April 23, 2014 14 Arithmetic Sequences.notebook April 23, 2014 What do the graphs of an arithmetic sequence look like? gc 14 Arithmetic Sequences.notebook Summary: Find the common difference (slope) by subtracting. f(x) = mx + b April 23, 2014 14 Arithmetic Sequences.notebook 2nd Try at Test • • • • • Question is incomplete < or ≤ or on graph. inequality and graph don't match did you remember to switch the inequality when necessary? • silly calculation error • work doesn't match the answer • OR just the whole thing is wrong. April 23, 2014 14 Arithmetic Sequences.notebook April 23, 2014 Arithmetic Sequences CW p.23 (2,5,9) P p. 24 (all) 2) Rule: +0.75 Starting amount (b Equation: f(x) = 0 10th term: 16.25 answers 5) Rule: 2.5 Starting amount ( Equation: f(x) = 2 10th term: 24 9) Rule: +0 Starting amount ( Equation: f(x) = 5 10th term: 53 14 Arithmetic Sequences.notebook p.24 answers April 23, 2014 14 Arithmetic Sequences.notebook April 23, 2014 14 Arithmetic Sequences.notebook April 23, 2014
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