Algebraic Sequences Part C

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

Example 1 ,[object Object],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 +

Example 1 (continued) ,[object Object],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 …

Example 2 ,[object Object],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 +

Example 2 (continued) ,[object Object],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 …

Practice ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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

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

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

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

Algebraic Sequences Part C

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Algebraic Sequences Part C