A sequence is a pattern of numbers that follows a set of rules. A sequence in which 1 1/4 is adding to each number [tex]2, 3\frac{1}{4}, 4\frac{1}{2} .....[/tex]
A sequence must have a starting point. This is called the first term (T1).
Assume that:
[tex]T_1 = 2[/tex] --- we can use any number, here
The next term will be:
[tex]T_2 = T_1 + 1\frac{1}{4}[/tex] ----- i.e. add [tex]1\frac14[/tex] to the number
[tex]T_2 = 2 + 1\frac{1}{4} = 3\frac{1}{4}[/tex]
The next term will be:
[tex]T_3 = 3\frac{1}{4} + 1\frac{1}{4} = 4\frac{1}{2}[/tex] ----- i.e. add [tex]1\frac14[/tex] to the number
And so on.
Hence,
A sequence in which 1 1/4 is adding to each number [tex]2, 3\frac{1}{4}, 4\frac{1}{2} .....[/tex]
[tex]2, 3\frac{1}{4}, 4\frac{1}{2} .....[/tex]
Read more about sequence at:
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