The math rule for combining the numbers 425, 339, 253,... is:
-86n + 511 for n ≥ 1
The given sequence is:
425, 339, 253, ............
The common difference, d = 339 - 425 = 253 - 339
d = -86
Since the sequence has a common difference, d = -86, it is an arithmetic sequence
Let the number of terms in the sequence be n
The first term, a = 425
The nth term of an arithmetic sequence as:
[tex]T_n = a + (n-1)d[/tex]
Substituting a = 425, and d = -86 into the equation above
[tex]T_n = 425 + (n-1)(-86)\\\\T_n = 425 -86n+86\\\\T_n = -86n + 511[/tex]
The math rule for combining the numbers 425, 339, 253,... is:
-86n + 511 for n ≥ 1
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