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Answer:
The explicit rule for the arithmetic sequence is given by:
......[1]
where,
is the first term
n is the number of terms and
d is the common difference for two consecutive terms.
As per the statement:
A recursive rule for an arithmetic sequence is:
The recursive formula for the arithmetic sequence is given by:
then;
On comparing we get;
d = -3
Substitute the given values in [1] we have;
⇒
Therefore, the explicit rule for this sequence is,