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Jesus
Jesus asked in Science & MathematicsMathematics · 10 years ago

Math sequence question.. please help! 10 pts!!!?

Hey guys, I need some help trying to figure out how to get the summation of a sequence.

The sequence is "T_x = 2 - 1/x" Here "T_x" just means T to the subscript x.

I need the summation of this from x=2 to n. Any ideas? Thanks. I do believe its an arithmetic sequence.

1 Answer

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  • z
    Lv 5
    10 years ago
    Favorite Answer

    sum(x=1 to n, 1/x) is the Harmonic number. No simple closed formula is available.

    As n->inf, the summation diverges, and is symptotically ln(n) + gamma, where gamma ~= 0.57722.

    Source(s): http://en.wikipedia.org/wiki/Harmonic_number
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