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Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
In which is the first term.
−4,−21,−38
First term -4, so
Common difference of
Thus
Find the 64th term of the arithmetic sequence
This is . So
The 64th term of the arithmetic sequence is -1075.