finding the nth term

• to find the nth term, we have to look for ?

  a pattern, work backwards and guess and check strategies
• Increasing terms in a sequence

  May involve addition or multiplication
• Finding the nth term in a sequence

  1. Observing patterns in the sequence

  2. Formulating a rule based on the pattern
• Term in a sequence

  Each number in the sequence
• A sequence is a set of numbers written in a special order by the application of a definite rule
• Formulating an n term rule for a sequence without a common difference

  Counting numbers are used, which are whole numbers excluding zero. The counting numbers are used to count the number of terms in the sequence. The n term rule is found by squaring the counting numbers
• 2, 5, 8, 11, 14, _, _, _,

  what are missing, and how did you solve it?

  17, 20, 23

  in every term 2 is added
• 58, 46, 34, _, _,

  what are missing, and how did you solve it?

  22, 10

  every term 12 is subtracted from the previous term
• 4, 8, 16, 32, 64, _, _, _,

  what are missing, and how did you solve it?

  128, 256, 512

  every term is multiplied by 2