University:
East Georgia State College
Course:
MATH 1113 | Pre-Calculus
Academic year:

2023
Views:

491

Pages:

2
Author:

Clint W.

HPC Arithmetic Sequences & Series Arithmetic Sequence: Example 1: a. Section 8.2 Name: nth term: Determine whether the sequence is arithmetic. If it is, find the common difference and the nth term. 4, 9, 14, 19, 24, … b. 3, 5 , 2 2, 3 , 2 1, … What does the graph of an arithmetic sequence look like? What does that mean about the common difference? Example 2: Write the first five terms of the sequence. If it is arithmetic, find the common difference (assume 𝑛 begins with 1). 𝑎𝑛 = 3 − 4(𝑛 + 6) Example 3: a. Find a formula for the arithmetic sequence and write the first five terms of the sequence. 𝑎1 = −4, 𝑎5 = 16 b. 𝑎5 = 190, 𝑎10 = 115 c. Sum of a Finite Arithmetic Sequence Why can’t you take the sum of an infinite arithmetic sequence? 𝑎1 = 200, 𝑎𝑘+1 = 𝑎𝑘 − 10 Example 4: Find the sum of the finite arithmetic sequence [also called a PARTIAL SUM]. a. 1 + 4 + 7 + 10 + 13 + 16 + 19 Example 5: b. 4.2, 3.7, 3.2, 2.7, … 𝑛 = 12 c. 16 + 10 + 4 + ⋯ + (−50) Find the partial sum without using a graphing utility 100 ∑ 7𝑛 𝑛=51 Example 6: a. Which term of the arithmetic sequence −1, 4, 9, … is 374? Example 7: a. The first term of an arithmetic sequence is −1 and the third term is 9. How many terms of this sequence must be added to get 132? Section 8.2 6b. 566 b. Which term of the arithmetic sequence −0.3, 1.8, 3.9, … is 1186.2? b. The first term of an arithmetic sequence is 7 and the fourth term is 28. How many terms of this sequence must be added to get 735? 7b. 14 #1-25 EOO, 31, 33, 35, 39, 53, 57, 63, 69, 79, 81, 83, Example 6b, Example 7b