Question

Will Medal! Given an arithmetic sequence in the table below, create the explicit formula and list any restrictions to the domain.
n an
1 40
2 47
3 54

Answer 1

Answer choices:

an = 40 + 7(n − 1) where n ≥ 40

an = 40 + 7(n − 1) where n ≥ 1

an = 40 − 7(n − 1) where n ≥ 40

an = 40 − 7(n − 1) where n ≥ 1

Answer 2

@ganeshie8
@jigglypuff314

Answer 3

What's the "common difference?" In other words, what number separates 47 from 40, and which number separates 54 from 47?

Answer 4

what is the first term a =

what is the common difference = a2-a1 =
can u find these?

Answer 5

7 is the common difference

Answer 6

And the first term is 40, right?

Answer 7

S what do I do now?

Answer 8

*so

Answer 9

very good
a= 40 , d= 7
an = a + (n-1) d
plug in above values

Answer 10

ok so the equation would be
40n= 40 + (n-1)7 ?

Answer 11

no ,here an means nth term

an = 40 + (n-1)7
= 40 +7(n-1) and \[n \ge 1\]

Answer 12

n is number of terms are always 0 or poisitive

Answer 13

Ok, so then the answer is
an= 40 + (n-1)7 where n is greater than or equal to 1
Thank you sooo much for all your help and your clarification :)