Question

Find the 6th term in the sequence:

d(n) = 8 - 6(n-1)

Answer 1

To find the 6th term in the sequence defined by d(n) = 8 - 6(n-1), substitute n = 6 into the formula and simplify to get d(6) = -22. Therefore, the 6th term is -22.

Step-by-step explanation:

The student is asking to find the 6th term of the arithmetic sequence defined by the formula d(n) = 8 - 6(n-1). To find the 6th term, we substitute n = 6 into the formula and solve:

1. Substitute n = 6 into the formula: d(6) = 8 - 6(6-1).
2. Simplify the expression inside the parentheses: d(6) = 8 - 6(5).
3. Multiply 6 by 5: d(6) = 8 - 30.
4. Subtract 30 from 8: d(6) = -22.
5. Therefore, the 6th term of the sequence is -22.