21:31 docs.google.com 10. Give two examples of an arithmetic sequence whose fifth term is 12. Find the sum of each series given in summation notation. 11. j=1 (47 -3) FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM PRECALCULUS | SEQUENCES & SERIES| SEQUENCES & SERIES UNIT TEST 13. Use the formula for the sum of the first n terms of an arithmetic series to find the sum of the first 15 terms of the arithmetic series 2.5, 4, 5.5, .... 14. Use the formula for the sum of the first n terms of a geometric series to find S,, for the series 12, 6, 3, 3/2, ... 15. A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung is 5 inches long and the last rung is 20 inches long. What is the sum of the lengths of the rungs? 16. Twins Jack and Jill both opened retirement accounts on their 25" birthday. Jack deposits $3,800 each year, earning 7.5% annual interest, compounded monthly. Jill deposits $4,600 each year, earning 5.5% annual interest, compounded monthly. Who will earn the most interest by the time they are 60 years old? How much more?21:31 AA docs.google.com PRECALCULUS | SEQUENCES & SERIES| SEQUENCES & SERIES UNIT TEST 1. Write the first five terms of the 2. Write the first five terms of the sequence defined by the recursive sequence defined by the explicit formula formula a, = 3, an = am + 2n. n! an = 2n - 1. a a a a- a4 a as Determine whether the given sequence is arithmetic, geometric or neither. Explain in complete sentences. State the common difference/ratio, if applicable. 3. 1.5, 4.5, 13.5, 40.5, ... Arithmetic, Geometric or Neither? Explain & State Common Difference/Ratio (if applicable). 4. 1, 4, 9, 16, 25, ... Arithmetic, Geometric or Neither? Explain & State Common Difference/Ratio (if applicable). Arithmetic, Geometric or Neither? NIN 5 3 4, 5.. Explain & State Common Difference/Ratio (if applicable). FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM PRECALCULUS | SEQUENCES & SERIES| SEQUENCES & SERIES UNIT TEST 6. An arithmetic sequence has terms a; = 11.7 and as = -14.6. What is the first term? m21:31 docs.google.com Arithmetic, Geometric or Neither? 3, NI 5. 4, NID 5... Explain & State Common Difference/Ratio (if applicable). FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM PRECALCULUS | SEQUENCES & SERIES| SEQUENCES & SERIES UNIT TEST 6. An arithmetic sequence has terms as = 11.7 and as = -14.6. What is the first term? 7. How many terms are in the finite arithmetic sequence 12, 20, 28, ..., 172? 11 1 8. Write a recursive formula for the geometric sequence "' 3' 9' 27: ". 9. What is the 11" term of the geometric sequence -1.5, -3, -6, -12,... ? 10. Give two examples of an arithmetic sequence whose fifth term is 12. Find the sum of each series given in summation notation. 11. j=1 (41 - 3) 12. FOREST TRAIL ACADEMY | WWW.FORESTTRAILACADEMY.COM PRECALCULUS | SEQUENCES & SERIES| SEQUENCES & SERIES UNIT TEST 13. Use the formula for the sum of the first n terms of an arithmetic series to find the sum of the first 15 terms of the arithmetic series 2.5, 4, 5.5