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Module 3

Module 3. Test Review. Using the sequence 9, 14, 19, 24…. Write the Recursive Form: Answer f(n) = f(n-1) + 5 Write the Explicit Form: Answer f(n) = 5n + 4 Graph the Sequence Answer. Given the Recursive Function f(n ) = f(n-1) + 11 and f(1) = 3. Write the Explicit Function

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Module 3

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  1. Module 3 Test Review

  2. Using the sequence 9, 14, 19, 24… • Write the Recursive Form: • Answer f(n) = f(n-1) + 5 • Write the Explicit Form: • Answer f(n) = 5n + 4 • Graph the Sequence • Answer

  3. Given the Recursive Function f(n) = f(n-1) + 11 and f(1) = 3 • Write the Explicit Function • Answer: f(n) = 11n - 8

  4. Given the Explicit Function f(n)= · -2 • Write the Recursive Form: • Answer f(n) = f(n-1) · 3 and f(1) = -2

  5. Given • Find the Common Difference and the Arithmetic Means • Answer: Common Difference = 7

  6. Given • Find the Common Ratio and the Geometric Means • Answer: Common Ratio = 3

  7. Von is starting to save for a new car. He decides that every month he is going to put the same amount of money into a savings account each month. • What type of sequence is represented by his total savings? • Answer: Arithmetic. He is adding the same amount each month. • After week 2 he had $300 and after week 7 he had $1050. What is the Common Difference and his values of Arithmetic Means? • Answer: Common Difference = $150 • How many months will it take Von to save $3000? • Answer: 3000 = 150n • n = 20 months

  8. Von bought a car for $5000 and agreed to pay the owner 15% each month. • How much did he still owe after 4 months? • Answer: f(n) = · 4250 • f(4) = $2610.03

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