What is the nth term rule of the linear sequence below? − 5 , − 2 , 1 , 4 , 7 , . . .

The sequence is an illustration of an arithmetic sequence.

The nth rule is: (d)

We have:

-- the first term

Next, we calculate the common difference (d)

So, we have:

The nth rule is calculated using:

So, we have:

Open bracket

Collect like terms

Hence, the nth rule is:

Read more about arithmetic sequence at:

link

First term (a ) = -5

Common difference (d) = -2--5 = -2+5 = 3

Nth term = a + (n-1)d

= -5 + (n-1)3

= -5 + 3n - 3

= 3n - 8

The nth term rule is 3n - 8

Hope this helps.

the forst and 3rd

step-by-step explanation:

answer: 2530

hope this