Question

Question 1.

What is the equation for the nth term of the arithmetic sequence where a1 = 28 and d = –6?


an = 28 – 6n

an = 28 + 6n

an = 28 + 6(n – 1)

an = 28 – 6(n – 1)

Answer 1

Answer: an = 28 - 6n

Step-by-step explanation: The equation for the nth term of an arithmetic sequence is given by the formula an = a1 + (n - 1)d, where a1 is the first term and d is the common difference.

Given that a1 = 28 and d = -6, we can use the formula to find the equation for the nth term:

an = 28 + (-6) * (n - 1) = 28 - 6n + 6 = 28 - 6n

So the equation for the nth term of the given arithmetic sequence is:

an = 28 - 6n

Answer 2

Answer: a_{n}=28+-6(n-1)

Explanation:

The formula for an arithmetic sequence is a_{n}=a₁+(n-1)d

then, if a1=28 and d=-6 we obtain that a_{n}=28+(n-1)(-6)

so, a_{n}=28+-6(n-1) is the equation