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Find the pattern:3, 6, 9,12,15,...3, 6, 12,24,48,...3, 6, 10, 15,21,...3, 6, 9, 15, 24,...
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A sequence is an ordered list of objects. It contains terms that follow a pattern or rule to determine the next term in the sequence. The terms of a sequence are labelled according to their position in the sequence.
7,11,15,19,23,...
Ch1-Sequences and Series Page 1
1.1a Arithmentic Sequences
Chapter 1: Sequences and Series
1.1a Arithmetic Sequences
An arithmetic sequence is based on an addition pattern (The difference between consecutive terms is constant and is called the common difference)
7,11,15,19,23,...
t1= t2= t3=
Find the 5th term and the 20th term:
7, 11, 15, 19 t5= t20=
Find the 64th term (t64)47, 60, 73,.....t64
In general,tn = a + d(n - 1)tn = term in the nth position (general term)a = t1 (first term)d = common differencen = term number
t27
t18
Ch1-Sequences and Series Page 2
Ex. Given the arithmetic sequence 20, 14, 8,
2... Find
Find
__,8,___,___,1
2,___,___,___,22
Write the expression for tn
Ex. Given the arith seq17, 12, 7,... Determine the general term.
Use the general term to determine t23
Ex. For the following arithmetic sequences, determine the missing
terms. a) , , ,16,25
b) _
c) 1
Ch1-Sequences and Series Page 3
e) t9 = 76 and t15 = 118. Find the common difference and the first
Ch1-Sequences and Series Page 4
d) If 27 is the first term and 75 is the 5th term, find the terms in between.
Assignment: p16 #1-4,6,14a,17ab,21a
Ch1-Sequences and Series Page 5