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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 12: Q42. (page 691)

Describe the pattern. (P.772)
$1, 5, 25, 125, \dots$

Short Answer

Expert verified

The pattern is geometric pattern.

Step by step solution

01

Step 1. Given information.

The given sequence is $1, 5, 25, 125, \dots$ .

02

Step 2. Explanation.

If you check the pattern $1, 5, 25, 125, \dots$ it can be seen that each successive member is the multiple of the number 5 and the number before it, or that the power of 5 is increasing from 0 onwards.

Therefore, the pattern is $5^{0}, 5^{1}, 5^{2}, 5^{3}, \dots$ ..

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Most popular questions from this chapter

In example 2, if you know only $m ∠ 6$ ,can you find the measures of the other numbered angles? Explain.

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

$∠ 4 and ∠ 8$

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, $m ∠ 1 = 95 °$ and $m ∠ 3 = 45 °$ . Tell whether the statement is true or false. Explain your reasoning.

$∠ 2$ and $∠ 3$ are corresponding angles.
$∠ 2$ and $∠ 3$ have equal measures.
$∠ 2$ and $∠ 3$ are complementary angles.
The sum of the measures of $∠ 1, ∠ 2$ and $∠ 3$ is $180 °$ .

In Example 3, suppose that $m ∠ 1 = 135 °$ . Find $m ∠ 2$ , $m ∠ 3$ , and $m ∠ 4$ .

Tell whether the angles are complementary, supplementary, or neither.

$\begin{matrix} m ∠ 1 = 22 ° \\ m ∠ 2 = 58 ° \end{matrix}$

See all solutions

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