# Recursive vs Explicit Formulas in Calorie Burn

January's Warm Up explores the advantages and differences between using recursive and closed explicit formulas to calculate calories burned while exercising.

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## About Recursive vs Explicit Formulas in Calorie Burn

PowerPoint presentation about 'Recursive vs Explicit Formulas in Calorie Burn'. This presentation describes the topic on January's Warm Up explores the advantages and differences between using recursive and closed explicit formulas to calculate calories burned while exercising.. The key topics included in this slideshow are . Download this presentation absolutely free.

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1. Recursive & Explicit Formulas January 5 – 7, 2010

2. January 6, 2010 Closed/Explicit Formula

3. Warm Up (1/6) 1. You can burn 5 calories a minute from walking. Which set could represent the range of calories burned when walking between 1 and 5 minutes? a. {1,2,3,4,5} c. {5} b. {5,10,15,20,25} d. {1,5} 2. Which sequence is not a linear function? a. 1,2,3… c. 2,5,8… b. 1,4,9 d. -12,-8,-4… 3. Given the first term in the sequence below, use the recursive formula given to find the next four terms of the sequence. a. 15,12,9,6 c. -3,6,12,18 b. 18,15,12,9 d. 18,12,6,-3

4. Explicit Formula for the nth term of a sequence nth term 1 st term # of common the term difference trying to find Find the indicated term.

5. What is the 23 rd term of the following sequence? • 5, 12, 19, 26, … • a 1 = 5; d = 7

6. You Try! • Find the 9 th term in the following sequence: 9, 2, -5, -12,… a 1 = 9; d = -7

7. Practice 1 3 , 2 5 , 3 7 , 4 9 , … f i n d t h e 2 5 t h t e r m a 1 = 1 3 ; d = 1 2

8. Write the equation for the nth term • 17, 28, 39, 50, … a 1 = 17; d = 11 • 7, 4, 1, -2, … a 1 = 7; d = -3

9. Sequence 1: -4, 1, 6, 11, … • Find common difference (d) • Write the sequence in explicit /closed form: t n = t 1 + (n-1)d t n = -4 + (n-1)(5) • Find the 10th term --- • Find the 25th term ---

10. Sequence 2: 8, 5, 2, -1, … Find common difference (d) Write the sequence in explicit/closed form: t n = t 1 + (n-1)d t n = 8 + (n-1)(-3) Find the 10th term --- Find the 25th term ---

11. Sequence 3: -2, -4, -6, -8, … Find common difference (d) Write the sequence in explicit/closed form: t n = t 1 + (n-1)d t n = -2 + (n-1)(-2) Find the 10th term --- Find the 25th term ---

12. Sequence 4: 4, 7, 10, 13, … Find common difference (d) Write the sequence in explicit/closed form: t n = t 1 + (n-1)d t n = 4 + (n-1)(13) Find the 10th term --- Find the 25th term ---

13. Homework Textbook p. 145; 39-42 and 45 ALL