Question

Given the explicit rule for an arithmetic sequence f(n) = -7n + 6. What is the value of the 12th term?

a) 13
b) -78
c) -78
d) 78

Answer 1

The value of the 12th term of the arithmetic sequence is -78.

Step-by-step explanation:

The explicit rule for an arithmetic sequence is given by the formula: f(n) = an + b, where a represents the common difference between consecutive terms and b represents the first term in the sequence. In this case, we have f(n) = -7n + 6.

To find the value of the 12th term, we substitute n = 12 into the formula and solve for f(12): f(12) = -7(12) + 6 = -84 + 6 = -78.

Therefore, the value of the 12th term is -78.