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24 May, 01:29

Describe the pattern 0.7, 2.1, 6.3, 18.9

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Answers (2)
  1. 24 May, 04:26
    0
    You multiply 3 by each number.

    0.7•3=2.1

    2.1•3=6.3 etc ...
  2. 24 May, 04:58
    0
    This pattern would be exponential.

    Lets look at it.

    0.7 x 3 = 2.1

    2.1 x 3 = 6.3

    6.3 x 3 = 18.9

    The first term 0.7 is essentially 0.7 x zero 3's (0.7)

    The second term is 0.7 x one 3 (0.7 x 3)

    The third term is 0.7 x two 3's (0.7 x 3 x 3)

    The fourth term is 0.7 x three 3's (0.7 x 3 x 3 x 3)

    We can write a mathematical equation to describe this pattern:

    f (x) = 0.7 (3) ^ (x-1)

    Lets see if this actually gives us the right values.

    First term: x = 1

    Second term: x = 2

    Third term: x = 3

    Fourth term:x = 4

    First term: f (1) = 0.7 (3) ^ (1-1) = 0.7 (3) ^0 = 0.7 (3^0 simply becomes 1)

    Second term: f (2) = 0.7 (3) ^ (2-1) = 0.7 (2) ^1 = 0.7 x 3 = 2.1

    Third term: f (3) = 0.7 (3) ^ (3-1) = 0.7 (3) ^2 = 0.7 x 3 x 3 = 6.3

    Fourth term: f (4) = 0.7 (3) ^ (4-1) = 0.7 (3) ^3 = 0.7 x 3 x 3 x 3 = 18.9

    As you can see, this function outputs the same values in the pattern.

    This function, f (x) = 0.7 (3) ^ (x-1), is indeed an exponential function, so the pattern formed by this function is an exponential pattern.
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