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Nth term formulas are mathematical expressions used to find the position or value of a term in a sequence. The most common types include arithmetic sequences, where the nth term is given by ( a_n = a_1 + (n-1)d ) (with ( d ) as the common difference), and geometric sequences, represented by ( a_n = a_1 \times r^{(n-1)} ) (with ( r ) as the common ratio). For other types of sequences, such as quadratic or exponential, the nth term can be derived using specific polynomial or exponential functions. Each formula is tailored to the pattern of the sequence in question.

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2mo ago

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What is a nth term?

The "nth" term is a theoretical term based on the variable "n." This term is used to describe any term, and so is normally only used when n is all ready defined.


What are recursive formulas for the nth term geometric sequence?

A recursive formula for the nth term of a geometric sequence defines each term based on the previous term. It can be expressed as ( a_n = r \cdot a_{n-1} ), where ( a_n ) is the nth term, ( a_{n-1} ) is the previous term, and ( r ) is the common ratio. Additionally, you need an initial term ( a_1 ) to start the sequence, such as ( a_1 = a ), where ( a ) is the first term.


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It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.


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It is not possible to determine an nth term from a single number.


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It is not possible to find the nth term from the given information.


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whats the nth term for 9,12,17,24,33


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What is an example of a nth term?

Nth term With the nth term you substitute the n for the term number (e.g. 50) so the 50th term in 2n+3 would be 2x50+3=103


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