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Copy in agenda #5 Common Difference

Learn how to identify and apply common differences in arithmetic sequences with examples. Find missing terms easily!

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Copy in agenda #5 Common Difference

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  1. Copy in agenda • #5 Common Difference

  2. Warm up A movie ticket at a certain theater costs $4.50 for a child and $8.75 for an adult. How much will it cost for a family of two adults and three children to see a movie? $31

  3. Vocabulary common difference term sequence arithmetic sequence

  4. A ________is an ordered list of numbers or objects, called _______. • In an ____________, the difference between one term and the next is always the same. • This difference is called the ________________. The common difference is added to each term to get the next term.

  5. A sequence is an ordered list of numbers or objects, called terms. • In an arithmetic sequence, the difference between one term and the next is always the same. • This difference is called the common difference. The common difference is added to each term to get the next term.

  6. Additional Example 1: Finding the Common Difference in an Arithmetic Sequence Find the common difference in each arithmetic sequence. A. 11, 9, 7, 5, … 11, 9, 7, 5, … –2 –2 –2 The common difference is -2. B. 2.5, 3.75, 5, 6.25, … 2.5, 3.75, 5, 6.25, … +1.25 +1.25 +1.25 The common difference is +1.25.

  7. Check It Out: Example 1 Find the common difference in each arithmetic sequence. A. 2, 6, 10, 14, … 2, 6, 10, 14, … +4 +4 +4 d = +4. B. 2.5, 5, 7.5, 10, … 2.5, 5, 7.5, 10, … +2.5 +2.5 +2.5 d = +2.5.

  8. Additional Example 2: Finding Missing Terms in an Arithmetic Sequence Find the next three terms in the arithmetic sequence –8, –3, 2, 7, ... d = +5. 7 + 5 = 12 Use the common difference to find the next three terms. 12 + 5 = 17 17 + 5 = 22 The next three terms are 12, 17, and 22.

  9. Check It Out: Example 2 Find the next three terms in the arithmetic sequence –9, –6, –3, 0, ... d = +3. 0 + 3 = 3 3 + 3 = 6 6 + 3 = 9 The next three terms are 3, 6, and 9.

  10. Homework • #5 Common Difference

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