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A term of a sequence refers to an individual element or value within that sequence. Sequences are ordered lists of numbers or objects, where each term is identified by its position, typically denoted by an index. For example, in the sequence 2, 4, 6, 8, the numbers 2, 4, 6, and 8 are all terms of the sequence. The position of each term can be expressed using natural numbers, starting from 1 for the first term.
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What is the definition of finding the nth term?
It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.
What is the definition of an arithmetic sentence?
An arithmetic sequence is a sequence of numbers such that the difference between successive terms is a constant. This constant is called the common difference and is usually denoted by d. If the first term is a, then the iterative definition of the sequence is U(1) = a, and U(n+1) = U(n) + d for n = 1, 2, 3, ... Equivalently, the position-to-term rule which defines the sequence is U(n) = a + (n-1)*d for n = 1, 2, 3, ...
What is the nth term for -5-2147?
The expression "-5-2147" seems to be a single value rather than a sequence or series, making it difficult to determine an "nth term." If you're looking for a specific term in a sequence or need clarification on the sequence's definition, please provide more context or details. Otherwise, if you're referring to a mathematical operation, the result of the expression is -2152.
What recursive formulas represent the same geometric sequence as the formula?
To represent a geometric sequence recursively, you can use the formula ( a_n = r \cdot a_{n-1} ), where ( r ) is the common ratio and ( a_1 ) is the first term of the sequence. The first term can be defined explicitly, such as ( a_1 = A ), where ( A ) is a constant. This recursive definition effectively captures the relationship between consecutive terms in the sequence.
What sequence is formed by subtracting each term of a sequence from the next term?
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
What is the definition of finding the nth term?
It means to work out a suitable nth term that is applicable to all terms of a sequence of numbers following a regular pattern.
What is the definition of an arithmetic sentence?
An arithmetic sequence is a sequence of numbers such that the difference between successive terms is a constant. This constant is called the common difference and is usually denoted by d. If the first term is a, then the iterative definition of the sequence is U(1) = a, and U(n+1) = U(n) + d for n = 1, 2, 3, ... Equivalently, the position-to-term rule which defines the sequence is U(n) = a + (n-1)*d for n = 1, 2, 3, ...
What is the ninth term in the Fibonacci sequence?
The 9th term of the Fibonacci Sequence is 34Fibonacci Sequence up to the 15th term:1123581321345589144233377610
What is the nth term for -5-2147?
The expression "-5-2147" seems to be a single value rather than a sequence or series, making it difficult to determine an "nth term." If you're looking for a specific term in a sequence or need clarification on the sequence's definition, please provide more context or details. Otherwise, if you're referring to a mathematical operation, the result of the expression is -2152.
What recursive formulas represent the same geometric sequence as the formula?
To represent a geometric sequence recursively, you can use the formula ( a_n = r \cdot a_{n-1} ), where ( r ) is the common ratio and ( a_1 ) is the first term of the sequence. The first term can be defined explicitly, such as ( a_1 = A ), where ( A ) is a constant. This recursive definition effectively captures the relationship between consecutive terms in the sequence.
What is the definition of a plot sequence?
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What sequence is formed by subtracting each term of a sequence from the next term?
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
What is a nth term in a sequence?
Well, it would depend what the sequence was...? If the sequence was 2,4,6,8,10,12,14,16,18,20, then the 9th term would be 18!
What is the 5th term of the sequence which has a first term of 17?
That depends what the pattern of the sequence is.
What is a sequence with no last term?
An infinite sequence.
What is the tenth term of the sequence?
To determine the tenth term of a sequence, I need to know the specific sequence or formula that defines it. Please provide the sequence or the rule governing it, and I will be happy to help you find the tenth term.
What is the definition fro sequence in math?
A sequence is a function with domain a set of successive integers
