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Solve these number pattern problems: a) Count in 3s, start with an even number < 3. b) Input 1, 2, 3, 4, 5; Rule x10. c) Input 1, 3, 4, 5, 7; Rule x8.

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Answers

3 parts
a

2, 5, 8, 11, ...\text{2, 5, 8, 11, ...}

b

10, 20, 30, 40, 50\text{10, 20, 30, 40, 50}

c

8, 24, 32, 40, 56\text{8, 24, 32, 40, 56}

Step-by-step solution

4 steps

Here are the solutions to the number pattern problems.

Part a· 2 steps

Write a number pattern for the following: I am counting in 3s. I start with an even number smaller than 3. What is my pattern?

  1. Identify the starting number.

    The only even number smaller than 3 is 2.

  2. Apply the rule of counting in 3s (adding 3 to the previous number) to generate the pattern.

    2,2+3,(2+3)+3,((2+3)+3)+3,…2, 2+3, (2+3)+3, ((2+3)+3)+3, \dots 2,5,8,11,…2, 5, 8, 11, \dots

    The pattern is 2, 5, 8, 11, ...\boxed{\text{2, 5, 8, 11, ...}}

Part b

10, 20, 30, 40, 50\text{10, 20, 30, 40, 50}

My input numbers are 1, 2, 3, 4 and 5. My rule is x 10. What will my output numbers be?

  1. Apply the rule (multiply by 10) to each input number.

    For input 1: 1×10=101 \times 10 = 10
    For input 2: 2×10=202 \times 10 = 20
    For input 3: 3×10=303 \times 10 = 30
    For input 4: 4×10=404 \times 10 = 40
    For input 5: 5×10=505 \times 10 = 50
    The output numbers are 10, 20, 30, 40, 50\boxed{\text{10, 20, 30, 40, 50}}

Part c

8, 24, 32, 40, 56\text{8, 24, 32, 40, 56}

My input numbers are 1, 3, 4, 5 and 7. My rule is x 8. What will my output numbers be?

  1. Apply the rule (multiply by 8) to each input number.

    For input 1: 1×8=81 \times 8 = 8
    For input 3: 3×8=243 \times 8 = 24
    For input 4: 4×8=324 \times 8 = 32
    For input 5: 5×8=405 \times 8 = 40
    For input 7: 7×8=567 \times 8 = 56
    The output numbers are 8, 24, 32, 40, 56\boxed{\text{8, 24, 32, 40, 56}}

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