The explicit rule for the sequence is Tn = 12n - 26
Find the image of the graph attached.
From the graph, the coordinate of the y-axis form the sequence as shown:
38, 50, 62, 74, 86
The sequence is an arithmetic sequence and the nth term of the sequence is expressed as:
Tn = a + (n -1)d where:
Given the following
a = 38
d = 12
Substitute the given values into the formula:
Tn = 38 + (n-1)(12)
Tn = 38 + 12n - 12
Tn = 12n - 26
Hence the explicit rule for the sequence is Tn = 12n - 26
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