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The sum of 555 consecutive even numbers is 310310310. What is the third number in this sequence?

1 Answer

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Let the smallest number be x.

Th numbers are

1st number = x,
2nd number= x + 2,
3rd number = x + 4,
4th number = x + 6,
5th number = x + 8

The sum is 310
x + x + 2 + x + 4 + x + 6 + x + 8 = 310
5x + 20 = 310
5x = 290
x = 58

3rd number = x + 4 = 58 + 4 = 62

Answer: 62
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