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.
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.
6n-5 is the nth term of this sequence
You need the rule that generates the sequence.
The rule in this case is that there are no numbers in any position.
A sequence usually has a position-to-value function. Alternatively, it can be derived from the recursive relationship that defines 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.
They are all square numbers, and 170 isn't a square number. Very easy..
8, 9, 10, 11, 12, . . . etc.
a maths solution
You first have to figure out some rule for the sequence. This can be quite tricky.
once in a lower (subscript) position
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
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
Any iterative sequence.
22 - 3n
You can't figure out the rule for a sequence from a single number.