Describe the pattern and draw a number line to show each.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the descriptions of the patterns and their corresponding number lines: a) 8; 10; 14; 20; 28 Step 1: Analyze the differences between consecutive terms. 10 − 8 = 2; 14 − 10 = 4; 20 − 14 = 6; 28 − 20 = 8 The differences are 2, 4, 6, 8. Step 2: Describe the pattern and draw the number line. The pattern increases by adding a number that increases by 2 each time. Number line: 8 10 14 20 28 ---^--^----^------^--------^----------------^---> b) 15; 12; 6; −3; −15 Step 1: Analyze the differences between consecutive terms. 12 − 15 = −3; 6 − 12 = −6; −3 − 6 = −9; −15 − (−3) = −12 The differences are −3, −6, −9, −12. Step 2: Describe the pattern and draw the number line. The pattern decreases by subtracting a number that increases by 3 each time. Number line: -15 -3 6 12 15 <--^------------^---------^------^---^ c) 3; 6; 10; 15; 21 Step 1: Analyze the differences between consecutive terms. 6 − 3 = 3; 10 − 6 = 4; 15 − 10 = 5; 21 − 15 = 6 The differences are 3, 4, 5, 6. Step 2: Describe the pattern and draw the number line. The pattern increases by adding a number that increases by 1 each time. Number line: 3 6 10 15 21 ---^---^----^-----^-----------^-----------^---> d) 10; 9; 7; 4; 0 Step 1: Analyze the differences between consecutive terms. 9 − 10 = −1; 7 − 9 = −2; 4 − 7 = −3; 0 − 4 = −4 The differences are −1, −2, −3, −4. Step 2: Describe the pattern and draw the number line. The pattern decreases by subtracting a number that increases by 1 each time. Number line: 0 4 7 9 10 <--^----^---^--^--^

Describe the pattern and draw a number line to show each.

Step-by-step solution

Part a· 2 steps

Analyze the differences between consecutive terms.

Describe the pattern and draw the number line.

Part b· 2 steps

Analyze the differences between consecutive terms.

Describe the pattern and draw the number line.

Part c· 2 steps

Analyze the differences between consecutive terms.

Describe the pattern and draw the number line.

Part d· 2 steps

Analyze the differences between consecutive terms.

Describe the pattern and draw the number line.

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