Answer:
an = 40 -7(n -1)
Explanation:
The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:
an = a1 +d(n -1)
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The first term of the given sequence is ...
a1 = 40
The common difference for this sequence is ...
d = 33 -40 = -7
Using these values in the equation for the n-th term, we have ...
an = 40 -7(n -1) . . . . . explicit formula for the n-th term