Problem 1
Write the explicit formula for 15, 12, 9, 6, ...
Hint: Identify a1 and d.
Answer: an=15+(n-1)(-3)
Brief Explanation: The sequence starts at 15 and subtracts 3 each step.
Back to Week 3
Friday
Friday - Mixed Wrap-Up
Use the week's sequence and slope skills together and notice what you know to try next.
Mixed Wrap-Up
Use Sequences and Slope Properties Together
Try each problem, check your answer, and open support when you are ready.
Problem 2
Write a recursive rule for 5, 15, 25, 35, ...
Hint: Find the common difference.
Answer: a1=5 and an=an-1+10, n>=2
Brief Explanation: The sequence starts at 5 and adds 10 each time.
Problem 3
Find the slope of a line perpendicular to y=3x-1.
Hint: Find the opposite reciprocal of 3.
Answer: -1/3
Brief Explanation: Write 3=3/1. Flip and change the sign to get -1/3.
Problem 4
Is y=-2x+5 parallel to y=-2x-8?
Hint: Compare the slopes.
Answer: Yes
Brief Explanation: Both lines have slope -2, so they are parallel.
Problem 5
Find the first term of the sequence represented by an=3n+4.
Hint: Evaluate the rule at n=1.
Answer: 7
Brief Explanation: a1=3(1)+4=7.
Problem 6
Find the product of the perpendicular slopes m1=1/2 and m2=-2.
Hint: Multiply the two values.
Answer: -1
Brief Explanation: (1/2)(-2)=-1.
You completed the Week 3 wrap-up.
Problems currently correct: 0 out of 6
Use this information with your self-assessment to decide what you want to practice again.
Where Am I Now?
Choose the statement that best describes you now.
No choice is wrong. It helps you choose a next step.
Final Reflection
Choose Strategies You Can Carry Forward
Which strategy helped you most this week?
When I get stuck, I know something I can try next.
Carry-Forward Message
Patterns give you information. When you are unsure what to do next, look for what stays the same, what changes, and which rule connects the pieces.
Week 3 Complete