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Math Help-please help?

what is the mean (average) of the first 300 terms in the following sequence

1, -2, 3, -4, 5, -6, 7, .......

thank you

show your work and will receive the best ANSWER!@

1 Answer

Relevance
  • Anonymous
    1 decade ago
    Favorite Answer

    Group the terms in pairs:

    (1 - 2) + (3 - 4) + ... + (299 - 300).

    There are 300 / 2 = 150 pairs, and the sum of each individual pair is - 1.

    The total to 300 terms is therefore:

    150 * (- 1) = - 150

    Dividing by the number of terms (300) gives the mean:

    - 150 / 300

    = - 1 / 2.

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