Question

Please walk me through finding the domain of n in this arithmetic sequence.

Given the arithmetic sequence an = –4 + 4(n – 1), what is the domain for n?

Answer 1

@tkhunny @Preetha @freckles

Answer 2

[0, inf[

You can have term 0 , 1, 2, ...
but you can't have a term -

Answer 3

All integers
All integers where n ≥ 1
All integers where n ≥ 0
All integers where n > 1

C seems like the only possible then?

Answer 4

no d?

Answer 5

n = -4/7

Answer 6

?

Answer 7

n >= 0

Answer 8

I have seen similar questions like this... And it makes no sense. The domain should be defined by the person making the relation.

Though they probably are looking for integer n>=0....But honestly I have no clue.
A arithmetic sequence could honestly be defined with any of the given domains above.

Answer 9

In your class though, your instructor has probably gone over what domain he/she wants you to use so only you really know.

Answer 10

I guess I'll go over my lesson again, thanks for the help.

Answer 11

I would memedal you both but i can't sorry guys.

Answer 12

example this says use 1,2,3,.... also know as integer n>=1
http://www.regentsprep.org/regents/math/algtrig/atp2/arithseq.htm

example this says use 0,1,2,3..., also know as integers n>=0
https://algebra2c.wikispaces.com/2A+Arithmetic+Sequences

Answer 13

but what is to stop us from defining the relation on for integer n>1
or for all integers for that matter

but if I was your teacher I probably would normally be using the first two domains the integer n>=1 or the n>=0

Answer 14

@freckles , doesn't the arithmetic sequence start from zero ? so the first term is at n = 0 ? and so on ?

Answer 15

it could
but doesn't have to

Answer 16

"but doesn't have to " , give me example to understand that.

Answer 17

did you read the link above?

Answer 18

I understand your point. It's like some use the 1st tetm as n = 1, others as n = 0
so this question is illogical.