11 Extra Practice Lesson 11-1 Decide whether each formula is explicit or recursive. Then find the first five terms of each sequence. 2. a 3. a, = 5n( + 2) 4: a,-a, -1+ 7 6n2-1 1. an = 3n + 2 4. a = 2; a, 5. a, = 6. a, = 6 - 2n %3D %3D an-1-3 Lesson 11-1 Find the next three terms in each sequence. Write an explicit and a
11 Extra Practice Lesson 11-1 Decide whether each formula is explicit or recursive. Then find the first five terms of each sequence. 2. a 3. a, = 5n( + 2) 4: a,-a, -1+ 7 6n2-1 1. an = 3n + 2 4. a = 2; a, 5. a, = 6. a, = 6 - 2n %3D %3D an-1-3 Lesson 11-1 Find the next three terms in each sequence. Write an explicit and a
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Topic Video
Question
Number 25-
97, 96, 95, 94, 93....;20 terms

Transcribed Image Text:Chapter
11
Extra Practice
Lesson 11-1 Decide whether each formula is explicit or recursive. Then find the
first five terms of each sequence.
1. a, = 3n + 2
2. aj = 4; a, = a, -1+7
3. a, = 5n(n + 2)
4. aj = 2; a, = a, - 1 - 3
5. a, = 6n2 -1
6. a, = 6 - 2n
Lesson 11-1 Find the next three terms in each sequence. Write an explicit and a
recursive formula for each sequence.
7. 3, 5, 7, ...
8. 19, 15, 11,...
9. -12,-10.5,-9,...
10. 0.2, 0.5, 0.8,...
11. -23,-36, -49,...
12. 25, 37.5, 50,...
O Lesson 11-2 Find the arithmetic mean a, of the given terms.
13. an - 1 = 10, a, + 1 = 20
14. an - 1 = 7, an + 1 = 19
15. a, - 1 = -2,an + 1 = -7
O Lesson 11-3 Write the explicit formula for each geometric sequence.
Then generate the first five terms.
16. aj = 6,r = 2
17. a, = -27, r = {
18. aj = 1900,r = (
19. a, = -5, r = 3
20. aj = 1,r = 4
21. aj = 500, r = 0.2
Lesson 11-4 Use summation notation to write each arithmetic series for the
specified number of terms. Then evaluate each series.
22. 21, 19, 17, 15, ... ;8 terms
23. 4, 7, 10, 13, 16, 19, . . . ; 10 terms
24. –35, –28, -21, -14, ... ; 7 terms
25. 97, 96, 95, 94,93, . .. ; 20 terms
O Lesson 11-4 For each sum, find the number of terms, the first term, and the last
term. Then evaluate the sum.
5
7
26. (2n + 3)
27. E (4 – n)
28. (п + 1)
29. (Зп - 5)
n=1
n=2
n=1
n=3
Lesson 11-5 Find the sum of each infinite geometric series.
31. 3 – 1 +-+.
30. 4 + 2 + 1 +
+.
32. 2.2 - 0.22 + 0.022
33. 0.9 + 0.09 + 0.009 +...
34. 5 -
35. 1 + 0.1 + 0.01 + ...
O Lesson 11-5 Determine whether each series is arithmetic or geometric. Then find
the sum to the given term.
37. 3 + 6 + 12 + 24 + 48 +...; 10th term
36. 3 + 6 + 9 + 12 + 15 + ...; 10th term
39. 87 + 72 + 57 + 42 + ...; 20th term
38. – 1000 + 500 – 250 + 125 – ...;7th term
Lesson 11-6 Write and evaluate sums to approximate the area under each
curve for the domain 0 s x S 2. First use inscribed rectangles 1 unit wide.
Then use circumscribed rectangles 1 unit wide.
42. g(x) = 2x+ 3
43. h(x) = |x + 3|
41. y = x3
40. f(x) = 2x2
Chapter 11 Extra Practice
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