An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the nth term of the sequence will be 2748.
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
[tex]a_n = a_1 + (n-1)d[/tex]
where d is the difference and a₁ is the first term of the sequence.
For the given arithmetic series, the first term of the series is 57.
The value of difference, d can be written as,
d = 66 - 57 = 9
The 300th term of the sequence can be written as,
a₃₀₀ = 57 + (300-1)•9
a₃₀₀ = 2748
Hence, the value of the nth term of the sequence will be 2748.
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