Question

Question 13

Write an equation that represents the "n"th term of the explicit formula, an=a1 +(n-1)d.

{2, -1, -4, -7}

Answer 1

[AI-generated answer — Bot GPT 3.5]

The explicit formula given is: an = a1 + (n-1)d

In this case, a1 = 2, d = -3 (since each term decreases by 3), and we have the sequence {2, -1, -4, -7}

By substituting these values into the formula, we get:

an = 2 + (n-1)(-3)
an = 2 - 3n + 3
an = 5 - 3n

Therefore, the equation that represents the "n"th term of the sequence {2, -1, -4, -7} is:

an = 5 - 3n