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Q: How can a sequence be both arithmetic and geometric?
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Is -4 -8 -16 -32 arithmetic geometric both or neither?

It is a geometric sequence.


What is the sequence of numbers that are both geometric and arithmetic?

It is called arithmetico-geometric sequence. I have added a link with some nice information about them.


Which explains why the sequence 216 12 23 is arithmetic or geometric?

The sequence 216 12 23 is neither arithmetic nor geometric.


How do arithmetic and geometric sequences compare to continuous functions?

an arithmetic sequeunce does not have the sum to infinty, and a geometric sequence has.


Can a sequence of numbers be both geometric and arithmetic?

Yes, it can both arithmetic and geometric.The formula for an arithmetic sequence is: a(n)=a(1)+d(n-1)The formula for a geometric sequence is: a(n)=a(1)*r^(n-1)Now, when d is zero and r is one, a sequence is both geometric and arithmetic. This is because it becomes a(n)=a(1)1 =a(1). Note that a(n) is often written anIt can easily observed that this makes the sequence a constant.Example:a(1)=a(2)=(i) for i= 3,4,5...if a(1)=3 then for a geometric sequence a(n)=3+0(n-1)=3,3,3,3,3,3,3and the geometric sequence a(n)=3r0 =3 also so the sequence is 3,3,3,3...In fact, we could do this for any constant sequence such as 1,1,1,1,1,1,1...or e,e,e,e,e,e,e,e...In general, let k be a constant, the sequence an =a1 (r)1 (n-1)(0) with a1 =kis the constant sequence k, k, k,... and is both geometric and arithmetic.


Is the following sequence arithmetic or geometric and what is the common difference (d) or the common ration (r) the common ratio (r) of the sequence π2π3π22π?

The sequence is neither arithmetic nor geometric.


What is the difference between an arithmetic sequence and a geometric sequence?

In an arithmetic sequence the same number (positive or negative) is added to each term to get to the next term.In a geometric sequence the same number (positive or negative) is multiplied into each term to get to the next term.A geometric sequence uses multiplicative and divisive formulas while an arithmetic uses additive and subtractive formulas.


Is the sequence 2 4 16 arithmetic or geometric?

neither


Is 20 12 62 a geometric or arithmetic sequence?

It is neither.


Is this an arithmetic sequence or a geometric sequence 13 23 33 43 53?

Arithmetic- the number increases by 10 every term.


Is the sequence 1 4 8 13 19 26 an arithemtic or geometric sequence?

arithmetic


Can a sequence be neither arithmetic nor geometric?

yea if it isn't AxAxA or a+a+a