Question

Patterns etc. Please help. Need to get this done and am not sure if it is right.

Answer 1

Q5 (C) am not sure about it

Answer 2

What grade is this?

Answer 3

yes, it looks good

Answer 4

11th grade.
How do I do (c) though?

Answer 5

look at the first two rows in your table
hour 1 2 3 4 5
white 2 4 6 8 10

you need to find a pattern.

Answer 6

I know but the formula ... I don't know if I got it or not.

Tn=a+(n-1)d
Tn=2+(n-1)2
2+5n-2
5n
I don't know if I am right or wrong

Answer 7

The first thing people try is find the difference between the values
the difference in the white is 2
and the difference in the hours is 1
if you think of them as (x,y) points, you will see that you have a *line*
with slope 2. If you know about point-slope (for a line)
you could write
w-2 = 2(h-1)
which simplifies to
w-2 = 2h-2
w= 2h

Answer 8

No I don't know anything about that...

Answer 9

ok, you can also use your formula
you are ok up to
Tn=2+(n-1)2
now "distribute" the 2
what do you get ?

Answer 10

I have no clue....

Answer 11

I am really sorry am trying I just don't now how to distribute it

Answer 12

focus on the (n-1)2
that means 2 times (n-1)
think of the parens as a package with n and -1 in it,
and you have two packages.
so how many n's do you have and how many -1's ?

Answer 13

2n-1

Answer 14

ok on the 2n
but if you have 2 packages, and each one has a -1, don't you have 2 of the -1's also ?

Answer 15

oh wait 2n-2

Answer 16

yes

that is "distributing"

Answer 17

Tn=2+(n-1)2
becomes
Tn= 2 +2n -2

Answer 18

you can simplify the +2 -2
to zero

Answer 19

so it is just 2n?

Answer 20

yes, the rule is
Wh = 2h (I used W for "white tiles" and h for hour)
if we check your table, at h=3 (for example), the formula says
W= 2*3= 6
we should have 6 white tiles.
and it does. The formula works.

Answer 21

btw, I should write W=2h
not Wh (because Wh might mean W*h, which is not what we want)
I meant
\[ W_h= 2h \]
which is a fancy way to say, the number of white tiles for "h" hours is 2*h

Answer 22

I got it .. thank you
<3

Answer 23

but I think they want you to use \(T_n\), so I would use that
\[ T_n= 2n\]

Answer 24

Yep c: merci

Answer 25

The black tiles are even simpler
Tn= 2+ n

Answer 26

For the total, add the two formulas
can you do that ?

Answer 27

Nope never done it

Answer 28

write down the number of white tiles (i.e. write 2n) then put a + sign
then write down the number of black tiles

what does that look like ?

Answer 29

simultaneous equation? or I think linear

Answer 30

No, I meant just write down the number of white tiles (i.e. write 2n) then put a + sign
then write down the number of black tiles

Answer 31

2n + tn=2+n

Answer 32

The formula for the white tiles is 2n (think of that as a number)
and the number of black tiles is 2+n

to show those being added, you write them next to each other, and put + in between them

can you try to do that ?

Answer 33

yes I have done that.

Answer 34

can you type it here?

Answer 35

2n+2+n

Answer 36

yes, and that is the answer.

But most people would simplify it.
you have 2 n's plus another n. how many n's do you have

Answer 37

3n

Answer 38

yes, and your formula
2n+2+n
simplifies to
3n + 2

Answer 39

THANK YOU