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What are the next three multiples of 17 in the sequence 17, 34, 51, 68, 85?

Mathematics

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Answer

102,119,136\mathbf{102, 119, 136}

Step-by-step solution

4 steps

Here are the next three multiples of 17:

  1. Identify the pattern.

    The given sequence is 17,34,51,68,8517, 34, 51, 68, 85. Each number is a multiple of 17, meaning we are adding 17 to the previous term.
    17×1=1717 \times 1 = 17
    17×2=3417 \times 2 = 34
    17×3=5117 \times 3 = 51
    17×4=6817 \times 4 = 68
    17×5=8517 \times 5 = 85

  2. Calculate the 6th multiple of 17.

    To find the next multiple, add 17 to the last given number, 85.

    85+17=10285 + 17 = 102

    Alternatively, 17×6=10217 \times 6 = 102.

  3. Calculate the 7th multiple of 17.

    Add 17 to the previous result, 102.

    102+17=119102 + 17 = 119

    Alternatively, 17×7=11917 \times 7 = 119.

  4. Calculate the 8th multiple of 17.

    Add 17 to the previous result, 119.

    119+17=136119 + 17 = 136

    Alternatively, 17×8=13617 \times 8 = 136.

    The next three multiples of 17 are:

    102,119,136\mathbf{102, 119, 136}
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