algebra 5 6
TRANSCRIPT
AgendaWednesday, Jan. 6
Homework 22 p. 270 # 2 - 42 evens, 46, 47, 53 - 55, 71, 73
Ch. 5 Quest tomorrow
Inductive Reasoning = draw a conclusion or conjecture based on patterns
Complete Check Understanding 1 on p. 268
Sequence = a number pattern
Term = each number in a sequence
Arithmetic Sequence = a sequence where a fixed number is added to each previous term.
Common Difference = the fixed number
Example-4, 4, 12, 20
+8 +8+8Common Difference of Sequence is
8
Find the common difference of each arithmetic sequence.
a. 5, 2, -1, -4 b. 8, 11, 14, 17
The rule for an Arithmetic Sequence is:
A(n) = a + (n - 1)d
A(n) = nth terma = first termn = term numberd = common difference
We can use this rule to find the value of any given term.
ExampleFind the first, fifth and tenth term of the
sequence that has the rule A(n) = 12 + (n - 1)(-2)
First term A(1) = 12 + (1 - 1)(-2) A(1) = 12
Fifth termA(5) = 12 + (5 - 1)(-2)A(5) = 12 + (4)(-2)A(5) = 12 + -8 = 4
Tenth termA(10) = 12 + (10 - 1)(-2)A(10) = 12 + (9)(-2)A(10) = 12 + -18 = -6
Complete Check Understanding 3 p. 270
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