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Arithmetic sequences

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Now Playing:Arithmetic sequences – Example 1a
Examples
  1. Arithmetic sequence formula
    Consider the arithmetic sequence: 5, 9, 13, 17, … .
    1. Identify the common difference.

    2. Determine the seventh term of the sequence.

    3. Which term in the sequence has a value of 85?

Arithmetic sequences
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Notes
An arithmetic sequence (arithmetic progression) is a number sequence with a common difference between successive terms. By using the arithmetic sequence formula, we can easily find the value of a term and the common difference in the sequence.
• arithmetic sequence: a sequence with a common difference between successive terms
• The nth term, tn{t_n} ,of an arithmetic sequence:
tn=t1+(n−1)d{t_n} = {t_1} + \left( {n - 1} \right)d
where, tn{t_n}: nth term
t1{t_1}: first term
dd : common difference