The document provides examples and practice problems for determining terms in algebraic sequences. It explains how to find the expression for a sequence based on the differences between terms, and then use that expression to calculate a specific term by substituting the term position for n. It also gives examples of making tables to represent situations where quantities change in a predictable pattern based on a rule.

1. Algebraic Sequences Part C Obj: Determine a specific term of a given sequence.

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. 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. 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. 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