Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.
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Transcript of Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.
![Page 1: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/1.jpg)
Arithmetic Sequences & Partial Sums
Pre-CalculusLesson 9.2
![Page 2: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/2.jpg)
An Arithmetic Sequence is a sequence whose consecutive terms have a common difference, d.
Find the common difference in each sequence.
1. 7, 11, 15, 19, ….4n + 3 2. 2, -3, -8, -13, … 7 – 5n
3. 1, , , …, … 4. 1, 4, 9, 16, … , n2, …
![Page 3: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/3.jpg)
5. Find the first three terms of the arithmetic sequence with a1 = 300 and d = 50.
6. Find the first three terms of the arithmetic sequence with a1 = 220 and d = -25.
![Page 4: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/4.jpg)
an = a1 + (n – 1)d
To find the nth term of an arithmetic sequence with first term a1 and
common difference d, use the following formula
![Page 5: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/5.jpg)
7. Write a formula for the general term of the arithmetic sequence 2, 7, 12, 17…
![Page 6: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/6.jpg)
8. Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is – 7 .
9. Find the ninth term of the arithmetic sequence that begins with 2 and 9.
10. Find a6 when a1 = 13 and d = 4.
![Page 7: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/7.jpg)
Sn =
Sum of a Finite Arithmetic Sequence, called Sn:
![Page 8: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/8.jpg)
11.Find the sum: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
12. Find the sum of the integers from 1 to 100.
![Page 9: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/9.jpg)
13. Find the 150th partial sum of the arithmetic sequence:
5, 16, 27, 38, 49…
![Page 10: Arithmetic Sequences & Partial Sums Pre-Calculus Lesson 9.2.](https://reader035.fdocuments.us/reader035/viewer/2022072010/56649dce5503460f94ac196d/html5/thumbnails/10.jpg)
14. Find the following sum:
25
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