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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.
In the study of sequences, given a number n, the position to term rule tells you how the nth term of the sequence is calculated.
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A position-to-term rule is a method in mathematics used to find the value of a term based on its position in a sequence or pattern. It typically involves using a formula or equation to determine the relationship between a term's position and its value in the sequence.
1 2 3 4 5 2 5 8 11 14 ... If this is the sequence, the position-to-term rule is 3n-1. However, it could be another sequence depending on the rest of the terms.
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You need the rule that generates the sequence.
The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.
To find the equation of a sequence, you first have to look at the differences between the numbers. In this case the differences are 4, and 4. Thus the equation begins 4n. The sequence minus 4n is: 3, 3, 3 Thus the equation in its entirety is that the value of the term in position n is 4n+3
They are all square numbers, and 170 isn't a square number. Very easy..
6n-5 is the nth term of this sequence
8, 9, 10, 11, 12, . . . etc.