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Algebra l – Chapter 3. Linear Equations. Warm-up. Find the next 5 values in the list and explain the pattern. -2, 1, 4, 7, …. 3.1Notes Recursive Sequence: An ordered list of numbers. Initial value: Starting number. Routine: Rule to get other values. Term : Each number in the sequence.

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## Algebra l – Chapter 3

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**Algebra l – Chapter 3**Linear Equations**Warm-up**Find the next 5 values in the list and explain the pattern. -2, 1, 4, 7, …**3.1Notes**RecursiveSequence: An ordered list of numbers. • Initial value: Starting number. • Routine: Rule to get other values. • Term: Each number in the sequence**Find each missing value and write a routine to find the next**term in each sequence. A) 7, 12, 17, ___ , 27, ___ , ___ , 42, ___ … B) 5, 1, – 3, ___ , –11, –15,___, ___ ,–27… C) –7,___ , –29, ___ , –51, –62, ___ ,–84… D) 2, –4, 8, –16, 32, ___ , 128, –256,___ …**Linear Relationship:**A correspondence between two variables that form a line when graphed. Examples Distance and Time = speed Paycheck and Time = pay rate**Annette started her own business raking lawns in her**neighborhood. With bags and tools, she charges $8.75 per lawn. • Write a routine to find the earnings after raking any number of lawns. • Create a table of the earnings from the first 10 lawns. • Graph the table.(X-axis = lawns,y-axis= $) • Estimate number of lawns needed to save $99.95 for a new graphing calculator.**Homework**#28 3.1 Page 161 1 - 4, 9a, 9b, 11, 12**3.2 Warm-up Write a recursive routine to generate each**sequence. Identify the starting value. Use the routine to find the next 5 terms. • 1, -3, 9, -27, • -30, -18, -6, 6,**3.2 Investigation: “On the Road Again”**• Read investigation steps 1-5 on page 167. • In your notes: Write a recursive routine for each vehicle. (Rate of travel) • Write a DIRECT equation for each car. • Complete table and graph. (Use a different color for each vehicle on the graph.) • List and answer your group’s assigned question in your notes. Reporters: Prepare to share your group’s response.**Warm-up Leo lives 4.2 miles from his friend’s**house. It is 4:35pm and he needs to get home by 5:00pm. He bikes constantly at 9 mph. Question: Will Leo make it home on time? Write a recursive routine. Create a table and graph the data. Is Leo early or late? By how much? How fast must he travel to get home by 4:50?**Warm-up Solutions**Answer: Leo will be home on time, with 2 minutes to spare. Also, Leo must travel at 12.6 mph to be home by 4:50 pm.

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