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Pearson Algebra 1 Common Core, 2011 View details

8. Geometric Sequences

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Exercise 33 Page 470

Start by identifying the starting value and the common ratio of the geometric sequence.

a_1=192; a_n=a_(n-1) * (2/3)

Practice makes perfect

We want to write the recursive formula for the given geometric sequence. Let's identify the starting value a_1 and the common ratio r.

The starting value is a_1= 192 and the ratio between the consecutive terms is 23. Therefore, the common ratio of the sequence is r= 23. Let's use this information to write the recursive formula for our geometric sequence. General Form:& a_1= a; a_n=a_(n-1) * r Given sequence:& a_1= 192; a_n=a_(n-1) * ( 23)