Name: ___________________________________ Unit 10: Sequences & Series Date: ________________________ Bell: ______ Homework 2: Arithmetic Sequences and Series ** This is a 2-page document! ** Directions: Determine whether the sequence is arithmetic. If yes, identify the common difference and give the next three terms. 1. {−3, − 12, − 48, − 192, ... } 2. {−18, − 27, − 36, − 45, ... } 3. {4, 11, 18, 25, ... } 4. {16, 8, 4, 1, ... } 5. {−9, − 33, − 57, − 81, ... } 1 5 7 3 6. , , , , ... 2 6 6 2 Directions: Write a rule for each sequence, then find the indicated term. 7. {12, 27, 42, 57, ... } ; a18 8. {29, 9, − 11, − 31, ... } ; a32 9. {−40, − 44, − 48, − 52, ... } ; a49 10. {50, 39, 28, 17, ... } ; a54 11. Karen’s New Year’s resolution is to work out each day on her ellipitcal. The number of calories she has burned each day since she started is shown below. Write a rule for the sequence, and find the number of calories that Karen will burn on the 30th day. {349, 357, 365, 373, 381, ... } © Gina Wilson (All Things Algebra), 201 Directions: If the given terms are part of an arithmetic sequence, write a rule for the sequence, then find a9 12. a1 = 11 and a5 = 27 13. a1 = 3 and a14 = −23 14. a1 = −5 and a7 = 91 15. a1 = 1 and a23 = 6 2 Directions: Find the indicated sum for each arithmetic series. 16. {4 + 6 + 8 + 10 + ...} ; S21 17. {24 + 31 + 38 + 45 + ...} ; S 9 18. {15 + 4 + ( −7) + ( −18) + ...} ; S12 19. 25 ∑ ( 5k + 1) k =1 20. 14 ∑ (17 − 6n ) n=9 21. 35 ∑ ( 3x − 12) x = 11 © Gina Wilson (All Things Algebra), 201