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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 and Geometric Sequences in math and i'm so confused!!
- Oh! I have a friend who can teach you.
- Hi Josh 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.
- What is Geometric Sequence example
- Sn=a1(1−rn)1−r
- Example 1: {2,6,18,54,162,486,1458,...}
- A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms.
- It is an geometric sequence.
- Sn=a1(1−rn)1−r
- Oh ok, that's not bad! They're pretty fun actually!!
- Exactly! See you got it!!
- It is an geometric sequence.
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