Indicate a general rule for the nth term of this sequence. -6b, -3b, 0b, 3b, 6b. . .

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

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