Question

What are the next three terms in the arithmetic sequence −8.4,−7.2,−6.0, . . . ?

Answer 1

An arithmetic sequence is represented by the linear function f(n)=−8n+19 . Find the first term, a1 , and the common difference, d , of the sequence.

Answer 2

bot it's not 19

Answer 3

are you sure bot

Answer 4

Actually lemme just use my brain some more

Answer 5

The common difference between each term is 1.2.

Therefore, the next three terms in the sequence are:

-4.8, -3.6, -2.4

Answer 6

In an arithmetic sequence, the nth term is given by the formula:

An = a1 + (n-1)d

where:
An = nth term
a1 = first term
d = common difference
n = term number

Given that the linear function represents the arithmetic sequence, we have:

f(n) = -8n + 19

This is equivalent to the formula for the nth term:

-8n + 19 = a1 + (n-1)d

Comparing coefficients, we see that:
a1 = 19 (the constant term)
d = -8 (the coefficient of n)

Therefore, the first term is a1 = 19 and the common difference is d = -8.