Unit 1 - Arithmetic & Geometric Sequences

MA40: ALGEBRA 2 HOMEWORK Name: 1.1 – Catering Problem (Arithmetic Sequence) Period:

UNIT CONCEPTS 1) Complete each table. Write a sentence explaining how you figured out the values in each cell.

Term 1st 2nd 3rd 4th 5th 6th 7th 8th Term 1st 2nd 3rd 4th 5th 6th 7th 8th

Value 2 4 8 16 32 Value 66 50 34 18

Explanation: Explanation:

Term 1st 2nd 3rd 4th 5th 6th 7th 8th Term 1st 2nd 3rd 4th 5th 6th 7th 8th

Value -3 9 -27 81 Value 160 80 40 20

Explanation: Explanation:

Find the first four terms of the sequence defined by the rule. Justify your answer by showing work. n 2) a = 3) a=5 n - 7 4) a = -4, a= a + 3 n n +1 n 1 n n-1

 n 2 5) a  6) an  2n  3 7) a1  2, an  n  an1 1 n n  2 PROBLEM SOLVING Complete each table. Write a sentence explaining how you figured out the values to put in each cell. Explain how to figure out what will be in cell #8. 8) You earn $10 per week. # of weeks 1 2 3 4 5 6 7 Amount $ earned Explanation:

9) You borrow $500 from a relative, and you agree to pay back the debt at a rate of $15 per month. # of months 1 2 3 4 5 6 7 Amount $ owed Explanation:

10) You run a business making birdhouses. You spend $600 to start your business, and it costs you $5.00 to make each birdhouse. # of 1 2 3 4 5 6 7 birdhouses Total cost Explanation:

11) You are saving for a bike and can save $10 per week. You have $25 already saved. # of weeks 1 2 3 4 5 6 7 Amount $ saved Explanation:

LOOKING BACKWARD Perform the indicated operation. Justify your answer by showing your work. 6 5 12 30 3 8 12) 13) 14) + 7 21 21 14 10 15