Maths

find the nth term and write an equation to express 4,36,100,196,324

so far I've got 32(n-1) + 4 but it only works for the first two . . .

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asked by Chris
  1. 4 = 2^2
    36 = 6^2
    100 = 10^2
    196 = 14^2
    324 = 18^2

    ahhh, so the base is a multiple of 4 but starts with 2
    so how about a base of 4n-2

    all we have to do is square it, so ...

    term(n) = (4n-2)^2

    check: let n = 5
    term(5) = (2-2)^2 = 18^2 = 324
    looks like we got it.

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    posted by Reiny
  2. Thank you!!

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    posted by Chris

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