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In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1

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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.


How are arithmetic and geometric sequences similar?

Arithmetic and geometric sequences are similar in that both are ordered lists of numbers defined by a specific rule. In an arithmetic sequence, each term is generated by adding a constant difference to the previous term, while in a geometric sequence, each term is produced by multiplying the previous term by a constant factor. Both sequences can be described using formulas and have applications in various mathematical contexts. Additionally, they both exhibit predictable patterns, making them useful for modeling real-world situations.


What is the formula for non arithmetic and geometric sequences?

because starwars is awesome


Are all geometric sequences Exponential?

Yes, all geometric sequences are a specific type of exponential sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio, which can be expressed in the form ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term and ( r ) is the common ratio. This structure aligns with the definition of exponential functions, where the variable is in the exponent. However, not all exponential sequences are geometric, as they can have varying bases or growth rates.


What is the Different types of sequence?

Sequences can be categorized into several types, including arithmetic, geometric, and harmonic sequences. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. Harmonic sequences involve the reciprocals of an arithmetic sequence. Additionally, there are recursive sequences, where each term is defined based on previous terms, and Fibonacci sequences, characterized by each term being the sum of the two preceding ones.

Related Questions

How are arithemetic and geometric sequences similar?

how are arithmetic and geometric sequences similar


Arithmetic sequences are to linear functions as geometric sequences are to what?

Exponentail functions


How do you solve geometric sequence and series?

There can be no solution to geometric sequences and series: only to specific questions about them.


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.


How do you solve this word problem about geometric sequences?

Follow this method:


How are arithmetic and geometric sequences similar?

Arithmetic and geometric sequences are similar in that both are ordered lists of numbers defined by a specific rule. In an arithmetic sequence, each term is generated by adding a constant difference to the previous term, while in a geometric sequence, each term is produced by multiplying the previous term by a constant factor. Both sequences can be described using formulas and have applications in various mathematical contexts. Additionally, they both exhibit predictable patterns, making them useful for modeling real-world situations.


What is the formula for non arithmetic and geometric sequences?

because starwars is awesome


What are some examples of geometric?

There aren't any. Geometric is an adjective and you need a noun to go with it before it is possible to consider answering the question. There are geometric sequences, geometric means, geometric theories, geometric shapes. I cannot guess what your question is about.


Can geometric sequences be division too?

yes a geometic sequence can be multiplication or division


Are all geometric sequences Exponential?

Yes, all geometric sequences are a specific type of exponential sequence. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio, which can be expressed in the form ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term and ( r ) is the common ratio. This structure aligns with the definition of exponential functions, where the variable is in the exponent. However, not all exponential sequences are geometric, as they can have varying bases or growth rates.


What is the rule for these two sequences?

Please provide the two sequences you would like me to analyze, and I'll be happy to help you identify the rule governing them!


What is the Different types of sequence?

Sequences can be categorized into several types, including arithmetic, geometric, and harmonic sequences. An arithmetic sequence has a constant difference between consecutive terms, while a geometric sequence has a constant ratio. Harmonic sequences involve the reciprocals of an arithmetic sequence. Additionally, there are recursive sequences, where each term is defined based on previous terms, and Fibonacci sequences, characterized by each term being the sum of the two preceding ones.