A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.
The complete question illustrates that we build a sequence of number.
Let the n term of the sequence be [tex]T_n[/tex].
2 times 3 less than the previous number means:
[tex]T_n = T_{n-1} - 2 \times 3[/tex]
Where:
[tex]T_n \to[/tex] The current number
[tex]T_{n-1} \to[/tex] The previous number
Assume the first number starts with 0, the next numbers will be:
[tex]T_2 = 0 - 2 \times 3 = -6[/tex]
[tex]T_3 = -6 - 2 \times 3 = -12[/tex]
[tex]T_4 = -12 - 2 \times 3 = -18[/tex]
So, the sequence is:
0, -6, -12, -18.....
Assume the first number starts with 3, the next numbers will be:
[tex]T_2 = 3 - 2 \times 3 = -3[/tex]
[tex]T_3 = -3 - 2 \times 3 = -9[/tex]
[tex]T_4 = -9 - 2 \times 3 = -15[/tex]
So, the sequence is:
3, -3, -9, -15.....
Read more about sequence at:
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