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20 May, 17:42

Write. varible expression to describe the rule for the sequence 8,10,12,14 then find the 100th term

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  1. 20 May, 21:19
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    The first step would be to put in the fact that the sequence starts at 8

    y = 8 + _x

    The blank is going to include the difference between each number in the sequence; that is, how much it’s increasing by. To find it, get the difference between any two (consecutive!) terms.

    10 - 8

    12 - 10

    14 - 12

    All of these are equal to 2. Therefore, our gap is going to include "2"

    y = 8 + 2x

    To find the hundredth term, simply plug in 99 for x (the reason being that plugging in 0 for x gives us 8, but this is considered the first term. Therefore, x - 1 is the actual term)

    y = 8 + 2 (99)

    y = 8 + 198

    y = 206
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