The term in the sequence which gives a value of 227 using the nth term of an arithmetic sequence formula is the 26th term
From the sequence given :
The common difference, d = d2 - d1 = 11 - 2 = 9
The nth term of an arithmetic sequence can be obtained using the relation :
T(n) = a + (n - 1)d
227 = 2 + (n - 1)9
227 = 2 + 9n - 9
227 = 9n - 7
227 + 7 = 9n
9n = 234
n = 234 / 9
n = 26
Therefore, the term in te sequence which gives a value of 227 is the 26th term
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