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Identify the pattern in each sequence of numbers and describe it.

Mathematics

ScanSolve AI Answer

Step-by-step solution

8 steps

Here are the descriptions for each pattern:

Part a· 2 steps

  1. Observe the numbers and the jumps indicated by the arrows.

    The numbers shown are $24, 26, 28, 30, 32$.

  2. Calculate the difference between consecutive numbers in the pattern.

    26−24=226 - 24 = 2
    28−26=228 - 26 = 2
    30−28=230 - 28 = 2
    32−30=232 - 30 = 2
    The pattern is consistently adding 2.
    Description: Adding 2

Part b· 2 steps

  1. Observe the numbers and the jumps indicated by the arrows.

    The numbers shown are −13,−10,−7,−4,−1,2,5-13, -10, -7, -4, -1, 2, 5.

  2. Calculate the difference between consecutive numbers in the pattern.

    −10−(−13)=3-10 - (-13) = 3
    −7−(−10)=3-7 - (-10) = 3
    −4−(−7)=3-4 - (-7) = 3
    −1−(−4)=3-1 - (-4) = 3
    2−(−1)=32 - (-1) = 3
    5−2=35 - 2 = 3
    The pattern is consistently adding 3.
    Description: Adding 3

Part c· 2 steps

  1. Observe the numbers and the jumps indicated by the arrows.

    The numbers shown are $103, 106, 109, 112, 115, 118$.

  2. Calculate the difference between consecutive numbers in the pattern.

    106−103=3106 - 103 = 3
    109−106=3109 - 106 = 3
    112−109=3112 - 109 = 3
    115−112=3115 - 112 = 3
    118−115=3118 - 115 = 3
    The pattern is consistently adding 3.
    Description: Adding 3

Part d· 2 steps

  1. Observe the numbers and the jumps indicated by the arrows.

    The numbers shown are −17,−14,−11,−8,−5,−2-17, -14, -11, -8, -5, -2.

  2. Calculate the difference between consecutive numbers in the pattern.

    −14−(−17)=3-14 - (-17) = 3
    −11−(−14)=3-11 - (-14) = 3
    −8−(−11)=3-8 - (-11) = 3
    −5−(−8)=3-5 - (-8) = 3
    −2−(−5)=3-2 - (-5) = 3
    The pattern is consistently adding 3.
    Description: Adding 3

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