| Patterns of a sequences |
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Numbers |
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Example |
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\(3, 6, 9, 12, 15,...\) |
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Pattern: Addition of \(3\)
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Words |
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Example |
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\(1, 9, 17, 25, 33, ...\) |
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The sequence begins with the number \(1\) and the pattern is add \(8\) to the number before it.
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Algebraic expressions |
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Definition |
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It is an expression which has a combination of basic mathematical operations on numbers, variables or other mathematical entities. |
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Example |
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\(3,6,9,12,15,...\) |
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It is written as \(3x\) where \(x=1,2,3,...\)
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| Terms of a sequence |
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Definition |
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The \(n^\text{th}\) term is a number sequence and is written as \(T_n\) whereby \(T\) is the term and \(n\) is the position of the term.
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Example |
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\(\begin{aligned} &\space 65, 60, 55, 50, 45, 40, 35, 30,... \\\\& T_1, T_2, T_3, T_4, T_5, T_6, T_7, T_8, ... \end{aligned}\) |
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First term, \(T_1= 65\)
Second term, \(T_2= -60\)
Third term, \(T_3= 55\)
Fourth term, \(T_4= 50\)
Fifth term, \(T_5= 45\)
Sixth term, \(T_6 = 40\)
Seventh term, \(T_7= 35\)
Eighth term, \(T_8= 30\)
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