#I HAVE AN EXAM TOMORROW PLS HELP

83 messages · Page 1 of 1 (latest)

opal patio
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this is a patterns question that will be focused on in the exam (Im in year 9) please please finish by tmwr morning

image.png
lavish pulsarBOT
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lunar gale
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it seems like sum of 2 AMs

opal patio
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how do i do the question

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idk how to solve it

lunar gale
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3+0
6+1
9+2
12+3
15+4
.
.
.

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if I am not wrong this should be the pattern

opal patio
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yes but i need a rule

lunar gale
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what rule?

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didn't get that tho

opal patio
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u need to write a rule from n to find the black parts

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n is the length of each figure

lunar gale
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ohh so, let $a_k$ be the $k^{th}$ term in the pattern

hidden muskBOT
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Japanese Transformation

709077267321716856.png
opal patio
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huh

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oh

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ok

lunar gale
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that is, for $k=1$ you have exactly 1 black figure

hidden muskBOT
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Japanese Transformation

709077267321716856.png
lunar gale
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so, $a_k = 3k + (k-1)$

hidden muskBOT
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Japanese Transformation

709077267321716856.png
lunar gale
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for exactly one black figure, $a_1=3 \cdot 1 + (1-1)) = 3+0 = 3$ so length is 3

hidden muskBOT
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Japanese Transformation

709077267321716856.png
lunar gale
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for two black figures, $a_2=3 \cdot 2 + (2-1) = 6+1 = 7$ so the length is 7

hidden muskBOT
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Japanese Transformation

709077267321716856.png
lunar gale
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have you got the rule?

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ayo what

kindred coral
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This is the rule: 4n - 1

opal patio
opal patio
kindred coral
lunar gale
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@kindred coral the thing is that, the space between the black figures increases as the number of black figures increase?

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but it seems

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sum of 2 APs = AP

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so yeah

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4k - 1 should be the rule indeed

kindred coral
lunar gale
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I guess that's not what he meant by rule

kindred coral
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I went by what I saw based on what he posted: 3 black, 7 black, 11 black...that is an Arithmetic Sequence

opal patio
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no bc if n = 3, 12-1 is not 3

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3 is the amount of black hexagons the first figure has

opal patio
lunar gale
opal patio
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wha

kindred coral
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Based on what you posted and what I saw, n = 3 (1st), n = 7 (2nd), n = 11 (3rd);

opal patio
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n is supposed to be how long the figure is

lunar gale
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if n=3 then 12-1 = 11 which is giving us 3 black figures

lunar gale
kindred coral
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Can you post the "entire" question?

opal patio
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its on there

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oh wait

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im in light mode

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wait can u see it properly

lunar gale
opal patio
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WHAT???

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idk maybe he has problems on his end

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the question is on there

kindred coral
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This is what I see on my end

solution-2.png
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The diagram is not complete.

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There should be 7 black parts, and 11 black parts respectively in the 2nd and 3rd diagrams. Do you understand what I mean?

opal patio
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wait i got it

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lol

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i got the rule

kindred coral
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Based on what I saw, I gave you the answer. There are also more examples that I sent to you.

opal patio
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the rule is 3/4(n+1) = shaded blocks

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<>_<>

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right?

kindred coral
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You did not paste the "entire" diagram.

opal patio
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huh

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it is the entire one

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how do u close this thing

kindred coral
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Please check to make sure you posted the entire diagram.

past elbow
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You can type +close to close the post.

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?tag helping

junior basaltBOT
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past elbow
opal patio
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+close

river orchidBOT
# opal patio +close
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river orchidBOT
# river orchid

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