Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
6. Recursively Defined Sequences
Continue to next subchapter

Exercise 15 Page 318

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

a_1=243, a_n= 13a_(n-1)

Practice makes perfect
To write a recursive rule for the given sequence, we will use a table to organize the terms and find the pattern.

The sequence is geometric, with first term a_1=243 and common ratio r=0.3, or 13. To write the recursive rule, we will substitute these values into the general formula for the recursive rule of a geometric sequence. la_1=a a_n=r* a_(n-1) ⇒ la_1= 243 a_n= 13a_(n-1)