Question

Find an equation for the nth term of the arithmetic sequence.

-13, -8, -3, 2, ...

Answer 1

@jim_thompson5910 @campbell_st @paki

Answer 2

how do you get -8 from -13?

Answer 3

add 5

Answer 4

@Mehek14

Answer 5

ok from -8 to -3?

Answer 6

add 5 again

Answer 7

so 5 is your constant rate of change
now can you make an equation?

Answer 8

\[a _{n}=-13+5(n+1)\]

Answer 9

is that correct?

Answer 10

should it be \(\large{n - 1}\)?

Answer 11

how come n-1 ?

Answer 12

isn't the origional one \(\large{a_n+1 = a_n + 5}\)

Answer 13

then you move it to the other side it becomes -1

Answer 14

ohh thats right, i see it now

Answer 15

so \[a _{n}=-13 +5(n-1)\]

Answer 16

so it would be \(\Large{a_n = -11 + 5(n-1)}\)
Then you use distributive property

Answer 17

thank you

Answer 18

your welcome