Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
5. Geometric Sequences
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Exercise 36 Page 311

Check if the common ratio is - 6.

Error: The common ratio is 6, not - 6.
Equation: a_n=- 2 (6)^(n-1)

Practice makes perfect
We are given a geometric sequence and asked to find and correct the error. Let's take a look.

We see that the common ratio is 6, not - 6. Since the common ratio is 6 and the first term is - 2, the nth term is given by the equation below. a_n= a_1 r^(n-1) ⇔ a_n= - 2( 6)^(n-1)