chapter 1: sequences and series€¦ · web viewchapter 1: sequences and series chamber nautilus...

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,...

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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

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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

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e) t9 = 76 and t15 = 118. Find the common difference and the first

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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

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