9514 1404 393
Answer:
51
Explanation:
The rule gives the sequence ...
75, 69, 63, 57, 51, 45, ...
The 5th number in the sequence is 51.
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Alternate solution
The equation for the general term of an arithmetic sequence is ...
an = a1 +d(n -1) . . . . . for first term a1 and common difference d
Your sequence has first term 75 and common difference -6, so the equation is ...
an = 75 -6(n -1)
Then for n=5, the term is ...
a5 = 75 -6(5 -4) = 75 -24 = 51
The 5th term is 51.