Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
6. Recursively Defined Sequences
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Exercise 20 Page 318

Use a table to organize the terms and find the pattern.

a_1=35, a_n=a_(n-1)-11

Practice makes perfect

Let's look at the given graph. The points represent terms of the sequence.

To write a recursive rule for the given sequence, we will use a table to organize the terms and find the pattern. Let's put in the table coordinates of the points from the graph.

The sequence is arithmetic with first term a_1=35 and common difference d=- 11. To write the recursive rule, we will substitute these values into the general formula for the recursive rule of an arithmetic sequence. la_1=a a_n=a_(n-1)+d ⇒ la_1= 35 a_n=a_(n-1) - 11