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The nth term of an arithmetic sequence

= a + [(n - 1) X d]

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Q: Rule to finding terms in a arithmetic sequence?

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An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.

Add a constant number to one term to find the next term

The answer depends on what the explicit rule is!

It is the description of a rule which describes how the terms of a sequence are defined in terms of their position in the sequence.

It is a sequence of numbers. That is all. The sequence could be arithmetic, geometric, harmonic, exponential or be defined by a rule that does not fit into any of these categories. It could even be random.

An arithmetic sequence is a group or sequence of numbers where, except for the first number, each of the subsequent number is determined by the same rule or set of rules. * * * * * The above answer is incorrect. The rule can only be additive: it cannot be multiplicative or anything else.

It appears that a number of -79 is missing in the sequence and so if you meant -58 -65 -72 -79 -86 then the nth term is -7n-51 which makes 6th term in the sequence -93

Mathematical patterns are lists number that follows a certain rule and have different types. Some of these are: Arithmetic sequence, Fibonacci sequence and Geometric sequence.

Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to add or subtract a number each time, it is called an arithmetic sequence. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms).

A(1) = 12A(4) = 3 A(10) = -15.

Without further terms in the sequence, it is impossible to determine what the rule in the sequence is.

An explicit rule defines the terms of a sequence in terms of some independent parameter. A recursive rule defines them in relation to values of the variable at some earlier stage(s) in the sequence.

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