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Use the ratio test to determine whether each series is convergent or divergent.

4/(1*2*3) + 8/(1*2*3*4) + 16(1*2*3*4*5) + ...

How exactly do I do this? The example problem says to first find the nth term, but I don't know how.

Help is much appreciated.

  • calculus -

    looking at the pattern,
    t(n) = 2^(n+1) / (n+2)!

    that should get you started.

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