Find the 54th term of the arithmetic sequence minus, 2, comma, minus, 8, comma, minus, 14, comma, point, point, .−2,−8,−14,...

Question

Find the 54th term of the arithmetic sequence minus, 2, comma, minus, 8, comma, minus, 14, comma, point, point, .−2,−8,−14,...
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Solution 1

The given sequence is an arithmetic sequence, which means that each term is obtained by adding a constant difference to the previous term.

In this case, the common difference (d) is -8 - (-2) = -6.

The formula to find the nth term of an arithmetic sequence is given by:

a_n = a_1 + (n - 1) * d

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