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- Hello Sir! i would like to ask some question about arithmetic sequence.
- Sure! What is it?
- The common difference? eh?!
- I don't know how to determine if a sequence is an arithmetic sequence
- 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
- Yup!, that's not bad! They're pretty fun actually!
- Thank you! for helping me Sir!
- d = 7-4 =3d = 10-7 =3d = 14-10 =4
- Exactly! See its not that bad!
- No problem:)
- It is NOT an arithmetic sequence.
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