Question

Given the arithmetic sequence an = 3 + 2(n − 1), what is the domain for n?

Answer 1

@ganeshie8

Answer 2

I can give you the answer choices if you'd like but I'd rather you explain it so I can understand as well.

Answer 3

nth term formula : \( \large a_n = 3 + 2(n − 1)\)

Answer 4

what are the values you can input to the above nth term formula ?

Answer 5

Sorry open study was running slow! and you can put 1 or 0 right?

Answer 6

if you input n = 2, it spits out the 2nth term,
if you input n = 100000, it spits out the 10000th term
...

right ?

Answer 7

basically you can input ANY POSITIVE INTEGER to this formula

Answer 8

why ?
can u ask for a 1.5th or -2nd term ?

Answer 9

So would it be All intergers where \[n \ge 0\]

Answer 10

thats right !!

what are ur options ?

Answer 11

In general,
for any sequence the domain is always integers >= 0

Answer 12

These are all the options
All integers where n ≥ 0

All integers where n > 0

All integers where n ≤ 1

All integers where n ≥ 1

Answer 13

Okay, then this is ur answer :
All integers where n > 0

Answer 14

exclude "=" sign

Answer 15

So the second option instead of the first?

Answer 16

Yes, I have lied to u earlier :P

Answer 17

we say 1st term of sequence,
but we never say 0th term of the sequence...

so sequences in general start at n = 1

Answer 18

thank you so much!!

Answer 19

np :)

Answer 20

Just for anyone still reading this question for algebra 2 quizzes, n > 0 is incorrect.
-flvs student who had this question on a quiz