![]() If the position is \(n\), then this is \(2 \times n + 1\) which can be written as \(2n + 1\). Explain what an arithmetic sequence is An arithmetic pattern has the same difference between each term Question 2 Q. To get from the position to the term, first multiply the position by 2 then add 1. Write out the 2 times tables and compare each term in the sequence to the 2 times tables. In this sequence it is the 2 times tables. This difference describes the times tables that the sequence is working in. In this case, there is a difference of 2 each time. įirstly, write out the sequence and the positions of the terms.Īs the rule for going from the position to the term is not obvious, look for the differences between the terms. Work out the \(nth\) term of the following sequence: 3, 5, 7, 9. The \(n\) th term of a sequence is the position to term rule using \(n\) to represent the position number. If the position is \(n\), then the position to term rule is \(n + 4\). In this example, to get from the position to the term, take the position number and add 4. Next, work out how to go from the position to the term. įirst, write out the sequence and the positions of each term. ![]() Work out the position to term rule for the following sequence: 5, 6, 7, 8. ![]() Working out position to term rules for arithmetic sequences Example This is also called the \(n\) th term, which is a position to term rule that works out a term at position \(n\), where \(n\) means any position in the sequence. Position to terms rules use algebra to work out what number is in a sequence if the position in the sequence is known. For example, f(x) x2 is a quadratic function. The first term is in position 1, the second term is in position 2 and so on. Quadratic functions are polynomial functions of degree two. ![]()
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