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# Algebraic Sequences Part C

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This is a lesson/slideshow presentation I made for my 8th grade PreAlgebra students.

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### Algebraic Sequences Part C

1. 1. Algebraic Sequences Part C Obj: Determine a specific term of a given sequence.
2. 2. Example 1 <ul><li>Find the 25 th term in the sequence 7, 19, 31, 43, 55… </li></ul>Step 1: Find the expression for the sequence 7 19 31 43 55 12 -5 Difference Zero Term +12 -12 -5 ALSO 12 n - 5 Position 0 1 2 3 4 5 Term n +
3. 3. Example 1 (continued) <ul><li>Find the 25 th term in the sequence 7, 19, 31, 43, 55… </li></ul>Step 2: Find the 25 th term using the expression 12n - 5 7 19 31 43 55 -5 295 12 n – 5 12 (25) – 5 300 – 5 = 295 To find the 25 th term in the sequence, substitute 25 for n . Position 0 1 2 3 4 5 … 25 Term …
4. 4. Example 2 <ul><li>Find the 40 th term in the sequence 6, 13, 20, 27, 34… </li></ul>Step 1: Find the expression for the sequence 6 13 20 27 34 7 -1 Difference Zero Term +7 -7 -1 ALSO 7n - 1 Position 0 1 2 3 4 5 Term n +
5. 5. Example 2 (continued) <ul><li>Find the 40 th term in the sequence 6, 13, 20, 27, 34… </li></ul>Step 2: Find the 40 th term using the expression 7n - 1 6 13 20 27 34 -1 279 7 n – 1 7 (40) – 1 280 – 1 = 279 To find the 40 th term in the sequence, substitute 40 for n . Position 0 1 2 3 4 5 … 25 Term …
6. 6. Practice <ul><li>Find the 30 th term in the sequence </li></ul><ul><li>-12, -18, -24, -30, -36 </li></ul><ul><li>-6n – 6 </li></ul><ul><li>-186 </li></ul><ul><li>Find the 100 th term in the sequence </li></ul><ul><li>-24, -12, 0, 12, 24 </li></ul><ul><li>12n – 36 </li></ul><ul><li>1164 </li></ul>
7. 7. Making a Table A mechanic is paid \$10.50 per hour For the given situation, make a table that shows at least six entries. State a rule for the situation. 21.00 31.50 42.00 52.50 63.00 10.50 x 2 = 10.50 x 3 = 10.50 x 4 = 10.50 x 5 = 10.50 x 6 = 21.00 31.50 42.00 52.50 63.00 Hours Worked 1 2 3 4 5 6 Wages 10.50
8. 8. Making a Table A mechanic is paid \$10.50 per hour For the given situation, make a table that shows at least six entries. State a rule for the situation. 21.00 31.50 42.00 52.50 63.00 10.50 x 2 Rule: Wages = \$10.50 x hours worked Hours Worked 1 2 3 4 5 6 Wages 10.50
9. 9. Making a Table Two ropes are tied together to form a rope 50m long For the given situation, make a table that shows at least six entries. State a rule for the situation. 35 30 25 20 15 10 + n = 50 15 + n = 50 20 + n = 50 25 + n = 50 30 + n = 50 n = 40 n = 35 n = 30 n = 25 n = 20 35 + n = 50 n = 15 Rope 1 10 15 20 25 30 35 Rope 2 40
10. 10. Making a Table Two ropes are tied together to form a rope 50m long For the given situation, make a table that shows at least six entries. State a rule for the situation. 35 30 25 20 15 Rule: Rope 1 + Rope 2 = 50 Rope 1 10 15 20 25 30 35 Rope 2 40