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Big Ideas Math Integrated I, 2016 View details

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Exercise 31 Page 324

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

a_1=3, a_n=2a_(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=3 and common ratio r=2. 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= 3 a_n= 2a_(n-1)