#arithmetic sequence

38 messages · Page 1 of 1 (latest)

rose stream
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how do you do this? step by step?

hollow rootBOT
dusty vault
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Since it's arithmetic sequence try to find the common difference here

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common difference is the difference of two consecutive terms

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d = (a2 - a1) = (a3 - a2) = ......

rose stream
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can you explain? i’m not sure

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like how would you apply it here

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like would i just subtract 44 from 12?

surreal pecan
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Do you understand what arithmetic sequences are? @rose stream

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Example of an arithmetic sequence:
2,4,6,8,10
We notice that there is a pattern. Every time, we add two. Thus, 2 is the common difference.
So the next terms in the sequence are 10+2,10+2+2 and so on.

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Why is 2 a common difference? Because the difference between every consecutive term is 2.
2=4-2
2=6-4
2=8-6
....

rose stream
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i get it but it being to the fourth base is what throws me off. does it change anytjing?

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i did this

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it would be 76 and 108 right?

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someone in a difference server said i needed to convert to base 10 but that makes no sense bc it’ll still be the same numbers

surreal pecan
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But nonetheless.

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12sub4 in base 10 would be:
1 x 4^1 + 2 x 4^0 = 4+2=6

rose stream
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is it still 32 tho

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i’m confused

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yeah forget the base 10 part

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i get that

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now

surreal pecan
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And 44sub4 would be:
4 x 4 + 4 x 4^0 = 20

rose stream
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but for the sequence it’s just adding 32?

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because i don’t have to borrow

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so i can still just subtract it normally right?

surreal pecan
rose stream
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ok cool

surreal pecan
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14 in base 4 is 32.

rose stream
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tysm

surreal pecan
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20-6=14. Np.

rose stream
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where did y get 14

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wait what

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oh bc u did it in base 10

surreal pecan
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Yep.