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Arithmetic Sequences Lesson: Formulas, Examples, and Practice | Alg. 2 & Geometry B

Welcome to today's lesson on arithmetic sequences. Learn to write nth term equations, find arithmetic means, and solve practice problems. Explore vocabulary terms and complete assignments. Get ready to master arithmetic sequences!

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Arithmetic Sequences Lesson: Formulas, Examples, and Practice | Alg. 2 & Geometry B

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  1. Welcome to Alg. 2A Welcome to Geometry B! unt kei+ c w 3m

  2. Today’s agenda  Warm-up  Correct 11.1 Skills Practice #1-6  11.1B Notes  Assignment: 11.1 Skills Practice

  3. Warm-up • Write an equation for the nth term of each arithmetic sequence. • 4, 11, 18, . . . • 21, 15, 9, . . .

  4. Hw questions?

  5. I CAN . . . • ~use arithmetic sequences to find the indicated terms. • ~find arithmetic means. Lesson 11.1B

  6. vocabulary terms between any two nonsuccessive terms of an arithmetic sequence 30 63 41, 52

  7. Example 4: 41 85 19, 30, 41, 52, 63, 74, 85, 96 Using the sequence above, what are the arithmetic means between 41 and 85? 52, 63, 74

  8. Example 5: three Using the nth term formula, find the three arithmetic means between 21 and 45. 21 45 = 21+ ( 5– 1) d 45 45 = 21 + 5d – d 45 = 21 + 4d 5 27, 33, 39 24 = 4d 6 = d

  9. Example 5: three Using the nth term formula, find the three arithmetic means between 13 and 25. 13 25 = 13+ ( 5– 1) d 25 25 = 13 + 5d – d 25 = 13 + 4d 5 16, 19, 22 12 = 4d 3 = d

  10. Today’s assignment 11.1 Skills Practice #7-13

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