University:
Williams College
Course:
MATH 102 | Foundations in Quantitative Skills
Academic year:

2021
Views:

268

Pages:

4
Author:

Cassandra Cantrell

Pre-Calculus 11.2 Homework Sequences & Series Worksheet Name________________ Date_________________ Write the first five terms of the sequence. Determine whether or not the sequence is arithmetic. If it is, find the common difference. 1. 2. 3. Find the nth term of the sequence, then find the 20th term. 4. and 5. 6. Find the nth term of the sequence. 8. and 9. and and 7. 10. and Find the nth term of the sequence. 11. and 12. and Find the indicated nth partial sum (Sn) of the arithmetic sequence. 14. 15. 16. 13. , , 17. 18. , 20. , , , 19. , 21. ( ) , and Find the sums of the following arithmetic series in summation notation. 22. ∑ 23. ∑ 25. ∑ 26. ∑ 24. ∑ ∑ 27. ∑ 28. How many terms of the arithmetic sequence ,… must be added to get ? 29. How many terms of the arithmetic sequence ,…must be added to get ? 30. How many terms of the arithmetic sequence ,… must be added to get ? ∑ Answers 1. ; Arithmetic; 3. 6. ; Not Arithmetic ; 2. 4. 7. ; Not Arithmetic ; 5. ; 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. ;