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The general rule for the nth term of the sequence is
Explanation:
The sequence is -6b, -3b, 0b, 3b, 6b, .....
To find the nth term of the sequence, we need to find the common difference and the first term of the sequence.
First term of the sequence = -6b
Common difference =
Using this the nth term of the sequence can be determined.
Since, this is an arithmetic sequence, the general form of AP is given by the formula,
where a denotes the first term of the sequence and d denotes the common difference. Thus, and
Substituting the values in the general formula, we get,
Thus, the general rule for the nth term of the sequence is