6. Recursively Defined Sequences
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Use a table to organize the terms and find the pattern.
a_1=243, a_n= 13a_(n-1)
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)