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Inductive reasoning...?

Pattern:

1, 1/4, 1/9, 1/16

How is this pattern so?

My teacher just gives us random pages, so I have no clue because the book doesn't explain well. Honestly, can you help please?

Please explain symbols too... :o)

5 Answers

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  • 1 decade ago
    Favorite Answer

    1/1 squared = 1

    1/2 squared = 1/4

    1/3 squared = 1/9

    1/4 squared = 1/16...

    So f(x)=1/(n+1)^2...or in words...1 over (n+1) squared...

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  • 1 decade ago

    Ok, another inductive reasoning problem for Labor Day!

    Please note that the series is of the following form:

    1/(n^2)....where n = 1,2,3,4,.....

    For example, 1/4 = 1/(2^2)

    1/9 = 1/(3^2)

    1/16 = 1/(4^2)

    The next term 1/25 = 1/(5^2)

    Good luck!

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  • 1 decade ago

    1, 1/2^2, 1/3^2. 1/4^2, 1/5^ 2

    1 1/4 1/9 1/16 1/25

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  • 1 decade ago

    1/x squared:

    1/1 squared

    1/2 squared

    1/3 squared

    see the pattern?

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  • 1 decade ago

    2^-1, 2^-2, 2^-3, 2^-4

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