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Mathematics 10 Online
OpenStudy (misssmartiez):

s.o.s..

OpenStudy (misssmartiez):

OpenStudy (misssmartiez):

@retirEEd @Conqueror

OpenStudy (astrophysics):

It's geometric if \[\frac{ t_2 }{ t_1 } = \frac{ t_3 }{ t_2 }\] where t stands for term and the subscript represents the term in the sequence. It's arithmetic if \[t_2-t_1=t_2-t_2\]

OpenStudy (conqueror):

*GASP*

OpenStudy (conqueror):

I have no idea. O_O

OpenStudy (misssmartiez):

xD, me either.

OpenStudy (misssmartiez):

guess guess time c:

OpenStudy (anonymous):

Did you not read what @Astrophysics told you?

OpenStudy (astrophysics):

\[t_2-t_1=t_3-t_2\] arithmetic fixed

OpenStudy (misssmartiez):

Well, it says A: - and + G: x and / I think.

OpenStudy (misssmartiez):

I read it, it ISN'T what I am looking for. Nor what I learned.

OpenStudy (misssmartiez):

In my lesson: Arithmetic Sequences An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant (always the same). Consecutive means “one after the other.” The constant value is called the common difference. Each term in the sequence is equal to the previous term plus the common difference. Example: Describe the pattern in the sequence. Then find the next three terms. 5, 10, 15, 20, . . . 1. First, find the common difference by subtracting the previous term from each consecutive term. 10 – 5 = 5 15 – 10 = 5 20 – 15 = 5 The common difference is 5. The pattern for this sequence is to start with 5 and add 5 repeatedly. 2. To find the next three terms in the sequence, start with the last term, 20, and add the common difference, 5, repeatedly. 20 + 5 = 25 25 + 5 = 30 30 + 5 = 35 So, the next three terms are 25, 30, and 35. Geometric Sequences A geometric sequence is a sequence in which the ratio of any two consecutive terms is constant. This constant value is called the common ratio. Another way to think about a geometric sequence is that each term is equal to the previous term times the common ratio. Example: Describe the pattern in the sequence. Then find the next three terms in the sequence. 64, 16, 4, 1, . . . 1. First, find the common ratio by determining what to multiply each term by to get the next term. You multiply each term by to get the next term in the sequence, so the common ratio is . You can also find the common ratio by finding the ratio of consecutive terms: . The pattern is to start with 64 and multiply by repeatedly. 2. To find the next three terms in the sequence, start with the last term, 1, and multiply by the common ratio, , repeatedly.

OpenStudy (misssmartiez):

I don't get it. That is the point.

OpenStudy (anonymous):

A is adding or subtracting by the same term to find the next term G is multiplying or dividing by the same term to find the next term. Arithmetic: 1, 2, 3, 4, 5, 6, 7, ... Geometric: 2, 4, 8, 16, 32, ...

OpenStudy (misssmartiez):

Thank you. That is what I needed,

OpenStudy (misssmartiez):

I thought that, but I wasn't sure

OpenStudy (anonymous):

No problem! :)

OpenStudy (misssmartiez):

I see what Ast was getting to now! Thanks all.

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