Question

Find an equation for the nth term of the arithmetic sequence. (7 points)

a16 = 21, a17 = -1
(a)an = 351 + 22(n + 1)
(b)an = 351 - 22(n - 1)
(c)an = 351 + 22(n - 1)
(d)an = 351 - 22(n + 1)

Answer 1

Do you know the general equation for the nth term of a sequence?

Answer 2

no

Answer 3

\[a _{n}=a _{1}+d(n-1)\]
a1 = the first term
d = common difference (the space between consecutive terms)
n = term number

Answer 4

You have terms 16 and 17, so you can subtract them to get d.
\[d=a _{17}-a _{16}\]

Answer 5

21-(-1)=22?

Answer 6

other way around. the 17th term is -1 and the 16th is 21

Answer 7

-1-21=(-22)?

Answer 8

right

Answer 9

So it's B!

Answer 10

yes

Answer 11

Awesome thanks!

Answer 12

yw