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math..solve for X

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The sum of the first X consecutive even numbers is 930. Find X.
10
35
30
41

Explain your solution.

  • math..solve for X - ,

    so we want
    2 + 4 + 6 + ... = 930
    this is an arithmetic series where
    a=2 , d=2 , n = ?

    n/2[2a + (n-1)d) = 930
    n/2[4 + (n-1)(2)] = 930
    n^2 + n - 930 = 0
    (n+31)(n-30) = 0

    n = 30 or n=-31, but n has to be a positive whole number.

    there were 30 terms

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