# Why is y,y^1,y^2,y^3..not an arithmetic sequence??

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Why is y,y^1,y^2,y^3..not an arithmetic sequence, I thought this sequence meant there are common difference between them, and in this case, it multiplies by y each time?

SOMEONE HELP PLZ

SOMEONE HELP PLZ

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Why is y,y^1,y^2,y^3..not an arithmetic sequence, I thought this sequence meant there are common difference between them, and in this case, it multiplies by y each time?

SOMEONE HELP PLZ

**Sizzo1128**)Why is y,y^1,y^2,y^3..not an arithmetic sequence, I thought this sequence meant there are common difference between them, and in this case, it multiplies by y each time?

SOMEONE HELP PLZ

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**Sizzo1128**)

Why is y,y^1,y^2,y^3..not an arithmetic sequence, I thought this sequence meant there are common difference between them, and in this case, it multiplies by y each time?

SOMEONE HELP PLZ

What level are you looking at this from? A level includes the study of arithmetic and geometric sequences, and as you can see, there are some differences between the way that they have to be handled.

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Arithmetic sequence is one that has a common difference between each term - e.g. 1, 2, 3, 4, etc. (this is also the set of natural numbers). Another arithmetic sequence can be y, 2y, 3y, 4y, etc.

A geometric sequence is one with a common ratio (or common multiple); e.g. 2, 4, 8, 16 (multiplies by 2 each time). What you are referring to is a geometric sequence with common ratio y - it gets multiplied by y each term.

A geometric sequence is one with a common ratio (or common multiple); e.g. 2, 4, 8, 16 (multiplies by 2 each time). What you are referring to is a geometric sequence with common ratio y - it gets multiplied by y each term.

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**Sizzo1128**)

Why is y,y^1,y^2,y^3..not an arithmetic sequence, I thought this sequence meant there are common difference between them, and in this case, it multiplies by y each time?

SOMEONE HELP PLZ

First difference is 0

Second difference is 2

As they are not the same difference each time, it is not an arithmetic sequence.

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(Original post by

An arithmetic sequence has a common difference, and a geometric sequence has a common multiple (in this case y).

**zeldor711**)An arithmetic sequence has a common difference, and a geometric sequence has a common multiple (in this case y).

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(Original post by

Arithmetic sequence is one that has a common difference between each term - e.g. 1, 2, 3, 4, etc. (this is also the set of natural numbers). Another arithmetic sequence can be y, 2y, 3y, 4y, etc.

A geometric sequence is one with a common ratio (or common multiple); e.g. 2, 4, 8, 16 (multiplies by 2 each time). What you are referring to is a geometric sequence with common ratio y - it gets multiplied by y each term.

**thekidwhogames**)Arithmetic sequence is one that has a common difference between each term - e.g. 1, 2, 3, 4, etc. (this is also the set of natural numbers). Another arithmetic sequence can be y, 2y, 3y, 4y, etc.

A geometric sequence is one with a common ratio (or common multiple); e.g. 2, 4, 8, 16 (multiplies by 2 each time). What you are referring to is a geometric sequence with common ratio y - it gets multiplied by y each term.

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(Original post by

An example of your sequence is 2, 2, 4

First difference is 0

Second difference is 2

As they are not the same difference each time, it is not an arithmetic sequence.

**Chichaldo**)An example of your sequence is 2, 2, 4

First difference is 0

Second difference is 2

As they are not the same difference each time, it is not an arithmetic sequence.

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Ohhhhh,so it is a geometric sequence. THANK YOU SO MUCH

**Sizzo1128**)Ohhhhh,so it is a geometric sequence. THANK YOU SO MUCH

The first two terms of it are the same, so to get from the first to second term you multiply by 1, but to get from the second to the third you multiply by y. For the geometric sequence what you multiply by has to be the same each time.

For it to be a geometric sequence the first term could to be 1, not y. You could also just remove the first term, which would also make it a geometric sequence.

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