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Home > CCG > Chapter 5 > Lesson 5.1.4 > Problem 5-43

5-43.

Write an equation for each sequence. Homework Help ✎

  1. , , ,

    A recursive formula specifies the first term, then gives a formula for each 'next term' based on the previous term.

    Identify the first term and common difference in the sequence.

    ; , where stands for previous term and stands for the difference in the sequence.

    ;

  1. , , ,

    Find the pattern in the sequence. What do you have to multiply by in order to get to the next term?

    ; , where stands for the previous term and "" stands for the the common ratio (multiplier) in the sequence

  1. , , ,

    The general equation for an arithmetic sequence is
    , where  = position in the sequence, is the difference, and a1 is the starting value.

  1. , , ,

    Find the common ratio (multiplier) in the sequence.

    Use the equation for geometric sequences: