Question

If b(n) = -4 - 2(n - 1), then find the 12th term in the sequence.

Answer 1

The 12th term of the sequence defined by b(n) = -4 - 2(n - 1) is calculated by substituting n with 12 in the adjusted formula b(n) = -2 - 2n, resulting in the 12th term being -26.

Step-by-step explanation:

To find the 12th term of the sequence defined by the function b(n) = -4 - 2(n - 1), we simply substitute n with 12.

First, we adjust the formula by distributing the -2 across the parentheses:

b(n) = -4 - 2n + 2

Now, combining like terms:

b(n) = -2 - 2n

Next, we substitute 12 for n to find b(12):

b(12) = -2 - 2(12) = -2 - 24 = -26

Therefore, the 12th term in the sequence is -26.