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Arithmetic Sequence

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Arithmetic Sequence
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  • Yey that's great!! When will we meet?
  • Yes ofcourse.
  • Actually i'm not doing fine. We're learning about Arithmetic Sequences in math and i'm so confused!!
  • Oh! I have a friend who can teach you.
  • Hi Jonhrey how are you?
  • How about later? I'll just text you is that okay?
  • I don't know how to determine if a sequence is an arithmetic sequence let alone how to determinethe pattern of one.
  • The common difference? What does that mean?
  • Ok, well you need to find the common difference of the pattern.
  • 4,6,8,10
  • a , a .... 1 2
  • d = 6-4 =2d = 8-6 =2d = 10-8 =2
  • d= Common differenced= a -a 2 1
  • it is an arithmetic sequence.
  • The common difference is the pattern between the number in an arithmetic sequence. So, if we have a sequence of numbers such as 4,6,8,10 we'd take the 2nd number and subtact the 1st number.
  • 4,6,8,10
  • a , a .... 1 2
  • so then, how would we determine if isn't an arithmetic sequence
  • The common difference would not be the same throughout. The common difference has to be the same for it to ba an arithmetic sequence.
  • d = 6-4 =2d = 8-6 =2d = 10-8 =2
  • d= Common differenced= a -a 2 1
  • it is an arithmetic sequence.
  • So the common difference of this of this sequence number would be 2 because of the common difference is the same throughout.
  • 4,7,10,14
  • Oh ok!
  • Well, the common difference is 3 between the first two sets of numbers but not the third, so it isn't an arithmetic sequence
  • d = 7-4 =3d = 10-7 =3d = 14-10 =4
  • Here you try.Your sequence of numbers are 4,7,10,14
  • It is NOT an arithmetic sequence.
  • 4,7,10,14
  • Oh ok, that's not bad! They're pretty fun actually!!
  • d = 7-4 =3d = 10-7 =3d = 14-10 =4
  • Exactly! See you got it!!
  • It is NOT an arithmetic sequence.
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