Question

Given the arithmetic sequence an = 2 − 5(n + 1), what is the domain for n?

Answer 1

All real numbers

All integers where n ≥ 1

All integers where n > 1

All integers where n ≥ 2

Answer 2

any ideas?

Answer 3

I think its A @amistre64

Answer 4

hmm, all real numbers is rather impractical to me. after all, when we are developing a sequence, a list of things, we simply want to be able to count them. its hard to find the \(\pi^{th}\) term in a list of things

Answer 5

You can have a \(\normalsize\color{blue}{1}\)st, \(\normalsize\color{blue}{2}\)nd, \(\normalsize\color{blue}{3}\)rd, \(\normalsize\color{blue}{4}\)th (an on) term. But not ZEROth or -1st ....

Answer 6

some texts allow for a 0 starting term

Answer 7

am I wrong though?

Answer 8

Well, you mean index of a sigma from zero, but not in this case.

Answer 9

its not A, which is what my explanation boils down to

Answer 10

Yes, it definitely not ALL real numbers.

Answer 11

no, i mean that some texts start a sequence at a0 instead of a1. its the authors discretion

Answer 12

I haven't seen that.

Answer 13

But, perhaps...

Answer 14

My second guess would've been D

Answer 15

starting a list at the 2nd term is not generally advisable either.

Answer 16

I would smile at you, \(\normalsize\color{black}{\rm :D}\)

Answer 17

you are GUESSING, don't ... !

Answer 18

narrowing them down is what i perfer to call it lol

Answer 19

Their thought out guesses though, I don't know how to do it. I'm making an educated guess... but yes still a guess

Answer 20

spose you have a task to do, how do you go about writing down the steps to take?

step2
step5
step3
step1
step4

or do you put them in some sort of more rational order?

Answer 21

rational order

Answer 22

then lets start with step1 and move from there. n>= 1

Answer 23

alright whats step 2?

Answer 24

if I had a sequence (for example) \(\normalsize\color{blue}{ 1,~~~~~~~~~~4,~~~~~~~~~7,~~~~~~~~~10,~~~~~~~~13....\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ 1st~~~~~~~2nd,~~~~~~3rd~~~~~~~4th~~~~~~~~5th\LARGE\color{white}{ \rm │ }}\)

Answer 25

step2 is what comes after step1, we dont care about the steps, we just want to know which order to do them in

Answer 26

the nth step is whatever the nth step is. but we know that we have to start with n=1, step1 and the rest fall in line

Answer 27

the domain for n is therefore: n=1,2,3,4,...

Answer 28

so B?

Answer 29

B seems to fit the bill yes

Answer 30

thankyou so much! @amistre64

Answer 31

good luck

Answer 32

B is correct (: