An arithmetic sequence is a finite sequence of numbers with a common difference.^{[2]} For example, the arithmetic sequence { 1, 3, 5, 7 } has a common difference of 2 since 1 + 2 = 3, 3 + 2 = 5 and 5 + 2 = 7.
Arithmetic sequence can be denoted {a_{0} + k · d}_{k=0..n1} where:
Take the arithmetic sequence { 1, 3, 5, 7 }. Since the first term is 1, a_{0} = 1. The common difference is 3  1 = 2, so d = 2. There are 4 terms in the sequence, so n = 4. This gives the expression { 1 + 2k }_{k=0..3}.
Step  Example  Directions 

1  Take a piece of paper.  
2  Using a ruler, make tick marks along opposite edges.  
3  Using a straightedge, connect the tick marks.  
4  Using scissors, cut off one of the strips. How many strips do you have so far? Write it like this { 1 }.  
5  Cut off another strip of paper. How many strips do you have now? Write it like this { 1, 2 }.  
6  Continue cutting off strips until the paper is completely cut. Write down the sequence.  
7  (1 + k)_{k=0..3}  Now write the sequence using arithmetic sequence notation. 
Write down your answer to the following questions. Then click on the 'answer' icon to see if you understand.
Item  Arithmetic Sequence  First Term  Common Difference  Number of Terms  Expression 

1  { 4, 7, 10, 13, 16 }  Click for Answer 4
 Click for Answer 3
 Click for Answer 5
 Click for Answer {4 + 3·k}_{k=0..4}

2  { 1, 1, 3, 5, 7, 9 }  Click for Answer 1
 Click for Answer 2
 Click for Answer 6
 Click for Answer {1 + 2·k}_{k=0..5}

3  Click for Answer { 6, 8, 10, 12 }
 Click for Answer 6
 Click for Answer 2
 Click for Answer 4
 { 6 + 2·k }_{k=0..3} 
4  Click for Answer { 9, 6, 3, 0, 3 }
 Click for Answer 9
 Click for Answer 3
 Click for Answer 5
 { 9  3·k }_{k=0..4} 
#  A  B  C  D 
E  F  G  H  I 
J  K  L  M  N 
O  P  Q  R  S 
T  U  V  W  X 
Y  Z 
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