Question

The simple formula for the nth term of an arithmetic sequence is an = 4n + 16. What is the explicit formula corresponding to the simple formula?

A.an = 4 + (n - 1)(16)
B.an = 16 + (n - 1)(4)
C.an = 16 + 4n
D.an = 20 + (n)(4)
E.an = 20 + (n - 1)(4)

Answer 1

@Robert136

Answer 2

an = a1 + (n - 1)d

Answer 3

where d = common difference and a1 = first term

Answer 4

so its a???

Answer 5

in your case d = 4

Answer 6

mhm

Answer 7

no

Answer 8

ik its not a and b

Answer 9

the coefficient of n is d in the explicit formula so that makes d = 4
but what value will a1 have?

Answer 10

why do you say its not b?

Answer 11

oh i see - no its not b

Answer 12

lol

Answer 13

i think its c

Answer 14

im i right>??

Answer 15

simplif each of the options and see if you get 4n + 16

Answer 16

no

Answer 17

how when its already 16+4n

Answer 18

20 + (n - 1)4
= 20 + 4n - 4
= ?

Answer 19

the -4 will cancel out

Answer 20

so it will be left with 2o+44n then you divide both by 4

Answer 21

you need the explicit formula where you can easily pick out the first term and the common difference

Answer 22

20 - 4 = 16

Answer 23

so its d

Answer 24

theres only 1 left lol

Answer 25

d

Answer 26

e = 20 + (n - 1)4
= 10 + 4n - 4
= 4n + 16


so its e

Answer 27

ok EXPLAIN PLZ

Answer 28

* that is 20 + 4n - 4 in second line

Answer 29

ik that

Answer 30

- well it simplifies back to 4n + 16

and a1 + (n - 1)d is the explicit formula

Answer 31

oooo lol thx

Answer 32

yw

Answer 33

ill tag you one my other one