Question

METAL/FAN for whoever can help me with these questions FAST i have got to get 8 more assignments in algebra done by tonight and its already 7:51 pm... PLEASE!!!!

Answer 1

What's your question?

Answer 2

What is the 32nd term of the arithmetic sequence where a1 = −34 and a9 = −122?

−408

−397

−386

−375

What is the 7th term of the geometric sequence where a1 = 256 and a3 = 16?

0.03125

0.0625

0.125

0.15625

Every day, there are 5 times more likes on an internet video of a dog which is modeled by the function c(n) = (5)n − 1, where n is the number of days since the video posted. On the first day, there were 103 likes. What is the function that shows the number of likes each day?

c(n) = (5)(103)(n − 1)

c(n) = (103)n − 1

c(n) = 103(5)n − 1

c(n) = (5)103 − 1

A new video game is expected to sell 100 copies the first hour at a local game store. After that, the sales will follow the function s(x) = 12(x − 1) where x is the number of hours. What is the function that shows total sales, including the first hour?

s(x) = 12(x − 1) − 100

s(x) = 100x − 12

s(x) = 100 − 12(x − 1)

s(x) = 100 + 12(x − 1)

Answer 3

@jim_thompson5910

Answer 4

ok it would be good to post these one at a time so they're easy to reference

Answer 5

What is the 32nd term of the arithmetic sequence where a1 = −34 and a9 = −122?

−408

−397

−386

−375

Answer 6

what's the common difference in this case?

Answer 7

When did you receive this assignment?

Answer 8

2?

Answer 9

now, i am working on it as i type....

Answer 10

Are you doing online schooling, home school?

Answer 11

i have like 17 more questions i have left to do.. for this 1 assignment. and yes i am, FLVS

Answer 12

an = a1 + d(n-1)
an = -34 + d(n-1)
a9 = -34 + d(9-1)
-122 = -34 + d(9-1)

solve for d to get d = ???

Answer 13

i think it is 4....

Answer 14

nope

Answer 15

okay just give me a sec...

Answer 16

ok

Answer 17

okay this time, im pretty sure. is it 6?

Answer 18

an = a1 + d(n-1)
an = -34 + d(n-1)
a9 = -34 + d(9-1)
-122 = -34 + d(9-1)
-122 = -34 + d(8)
-122 = -34 + 8d
-122+34 = 8d
-88 = 8d
8d = -88
d = -88/8
d = -11

Answer 19

Hopefully you'll see where you went wrong

Answer 20

i honestly was going to say 8 but i doubted myself because i thought no that cant be right! it seemed like too high of a number...

Answer 21

do you see how I got -11?

Answer 22

yes, i understand that. (:

Answer 23

ok great

Answer 24

an = a1 + d(n-1)
an = -34 + d(n-1)
an = -34 + (-11)(n-1)
an = -34 - 11n + 11
an = -11n - 23

Answer 25

mhm, so what would be my next step?

Answer 26

now plug in n = 32

Answer 27

-375?

Answer 28

good

Answer 29

alright now what about the next 3?
What is the 7th term of the geometric sequence where a1 = 256 and a3 = 16?
0.03125
0.0625
0.125
0.15625

Answer 30

that would have to have a big Common difference correct?

Answer 31

it's not an arithmetic sequence this time

Answer 32

it's geometric

Answer 33

so we have a common ratio, call it r

Answer 34

ahh, see theyre all mixed and it gets me like super overwhelmed.. ive got so much to do...

Answer 35

alright so how would i do this?

Answer 36

To jump from term to term, you multiply the last term by r

So to go from a1 to a2, you multiply by r

a1 = 256
a2 = a1*r
a2 = 256*r

Answer 37

because the answer i got was 17.06666666..

Answer 38

to go from a2 to a3, you again, multiply by r

a3 = a2*r
a3 = (256*r)*r
a3 = 256*r^2

Answer 39

well, my problem is how do i find r?

Answer 40

a3 to a4

a4 = a3*r
a4 = (256*r^2)*r
a4 = 256*r^3

Answer 41

see how the pattern is forming?

Answer 42

yeah, i think i remember doing something like this...

Answer 43

a3 = 256*r^2
16 = 256*r^2
r = ???

Answer 44

im not quite sure if my calculator is right it keeps coming up with a decimal..

Answer 45

and now 1...? ehh

Answer 46

what solution did you get

Answer 47

i now got 16? i think that one is correct

Answer 48

16 = 256*r^2

16/256 = r^2

1/16 = r^2

r^2 = 1/16

r = ???

Answer 49

i take that as i was wrong... .-.

Answer 50

yes

Answer 51

so is it 0.0625?

Answer 52

that's the decimal value of 1/16

Answer 53

take the square root of that to get???

Answer 54

omg i didnt realize that the answers in this were decimals.. >.> woow and i think 256?

Answer 55

alright wanna help me with some more?

Answer 56

this is what I mean

r^2 = 1/16
r = sqrt(1/16)
r = 1/4 or r = 0.25

Answer 57

oh yeah, i have NEVER been good a sqare rooting... EVER no matter how much i try...

Answer 58

So the nth term is

an = a1*r^(n-1)
an = 256*(0.25)^(n-1)

and then you plug in n = 7 to get the 7th term

a7 = 256*(0.25)^(7-1)
a7 = 0.0625

Answer 59

well you have a calculator to help you out

Answer 60

my calculator has not square root sign...

Answer 61

what kind of calc do you have?

Answer 62

its a basic.

Answer 63

ok so use wolfram alpha as a calculator
or you can use google as a calculator

Answer 64

go ahead, try it

type in sqrt(1/16) or any math expression

Answer 65

i dont have time for that.. maybe after i finish all my assignments i will. i have to get this done by tonight...

Answer 66

it's as simple as typing "sqrt(1/16)" into google

it's not that bad

Answer 67

ok hold on...

Answer 68

i got 0.25

Answer 69

good, so that shows you how r = 1/4 or r = 0.25

Answer 70

okay, that makes a lot of since.

Answer 71

I'm glad it does