Question

Q 2.

What is the equation for the nth term of the arithmetic sequence where a1 = 30 and d = –9?

an = 30 – 9n
an = 30 – 9(n – 1)
an = 30 + 9n
an = 30 + 9(n – 1)

Answer 1

Answer: an = 30 - 9(n - 1)

Step-by-step explanation: The equation for the nth term of an arithmetic sequence with first term a1 and common difference d can be found using the formula:

an = a1 + (n - 1)d

In this case, a1 = 30 and d = -9, so plugging in these values into the formula, we get:

an = 30 + (n - 1)(-9)

an = 30 - 9(n - 1)

Therefore, the equation for the nth term of the arithmetic sequence where a1 = 30 and d = -9 is:

an = 30 - 9(n - 1)

I hope i helped