Answer:
1109
Explanation:
You want the 72nd term of the arithmetic sequence that starts -27, -11, 5, ....
Arithmetic sequence
The first term of the given sequence is -27.
The difference between terms is -11 -(-27) = 16.
Using these values, we can find the general term to be ...
an = a1 +d(n -1)
an = -27 +16(n -1)
Using this formula with n=72, we find the 72nd term to be ...
a72 = -27 +16(72 -1) = 1109
The 72nd term of the sequence is 1109.
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Additional comment
The attached calculator display verifies this equation gives the first three terms, and it also shows the 72nd term.
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