Posted by **M.A.** on Tuesday, July 20, 2010 at 8:49am.

The sum of the first X consecutive even numbers is 930. Find X.

10

35

30

41

Explain your solution.

- math..solve for X -
**Reiny**, Tuesday, July 20, 2010 at 10:14am
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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