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McGraw Hill Glencoe Algebra 2 Texas, 2016

MH

McGraw Hill Glencoe Algebra 2 Texas, 2016 View details

4. Infinite Geometric Series

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Exercise 1 Page 686

Find the common ratio of the given geometric series.

Convergent

Practice makes perfect

Let's start by considering the given geometric series.

We can see that the common ratio is

- \frac{1}{2} .

To determine whether the series is convergent or divergent, we need to calculate its absolute value.

∣ r ∣ = ∣ ∣ ∣ ∣ ∣ - \frac{1}{2} ∣ ∣ ∣ ∣ ∣ = \frac{1}{2}

Because the absolute value of the common ratio is less than

1,

the series is convergent.

Subchapter links

Check Your Understanding p.686

Practice and Problem Solving p.686-688

H.O.T. Problems p.688

Preparing for Assessment p.689