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Answer:

you should find the relation between terms at first

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An arithmetic sequence is given by adding a common difference to a first term continuously

The 67th term of the sequence 6, 13, 20, 27, is 468

The reason why the value of the 67th term is correct is given as follows;

The given arithmetic sequence is 6, 13, 20, 27

The first term of the sequence is a₁ = 6

The common difference, d, is found as follows;

d = 27 - 20 = 20 - 13 = 13 - 6 = 7

The nth, aₙ, term of an arithmetic sequence is given as follows;

aₙ = a₁ + (n - 1)·d

Therefore;

The 67th term (n = 67) is, a₆₇ = 6 + (67 - 1)·7 = 468

The 67th term is 468

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