Answer:
42, 38, 34, 30
Explanation:
You want the first 4 terms of the sequence described by ...
an = 42 -4(n -1), n ∈ ℕ
Arithmetic sequence
You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.
Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.
The terms you want are ...
42, 38, 34, 30
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Additional comment
The equation for the n-th term of an arithmetic sequence is ...
an = a1 +d(n -1)
where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.
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