Question

What are the explicit equation and domain for an arithmetic sequence with a first term of 6 and a second term of 2?

Answer 1

@kc_kennylau

Answer 2

Find the common difference first

Answer 3

The explicit equation of an arithmetic sequence is \(\Large a_n=a_1+d(n-1)\), where \(a_n\) is the \(n\)th term, \(a_1\) is the first term, and \(d\) is the common difference.

Answer 4

so a1 = 6

Answer 5

Yes

Answer 6

whats the common difference? -4?

Answer 7

Yes

Answer 8

ok let me write this down

Answer 9

whats n and an?

Answer 10

n is a variable, an is the nth term

Answer 11

how do i find it?

Answer 12

n is a variable variable

Answer 13

i.e. you change n

Answer 14

i.e. a2 is the 2nd term, a3 is the 3rd term, ...

Answer 15

i.e. an is the nth term

Answer 16

Get?

Answer 17

um not really im sorry when it comes to math im dumb

Answer 18

so an is the second term so that means its 2?

Answer 19

And you ain't dumb

Answer 20

did i get it?

Answer 21

a2 is the second term

Answer 22

It's one thing; it ain't a multiplied by 2

Answer 23

i really dont know

Answer 24

You don't find the value of an and n

Answer 25

u dont?

Answer 26

ohhh now i see

Answer 27

an = 6 − 4(n − 1); all integers where n ≥ 0

an = 6 − 4(n − 1); all integers where n ≥ 1

Answer 28

its one of these 2

Answer 29

So, I said that a1 is the 1st term, a2 is the 2nd term, a3 is the 3rd term, ...

Answer 30

Where did I start with?

Answer 31

it aint multiplied by two?

Answer 32

I mean where did I start with in the sentence "a1 is the 1st term, a2 blah blah blah"?

Answer 33

yea

Answer 34

okay never mind

Answer 35

Did I mention anything about a0?

Answer 36

no

Answer 37

Therefore the answer is?

Answer 38

the last one :) all integers n>1

Answer 39

Yes :D

Answer 40

thank uuuuuu