Question

Use formulas to find the greatest four consecutive
numbers whose sum is less than 1,000.

Answer 1

The greatest four consecutive numbers whose sum is less than 1,000 are 248, 249, 250, and 251.

Explanation:

Let x be the smallest integer. Then:

x + x + 1 + x + 2 + x + 3 < 1,000

4x + 6 < 1,000

2x + 3 < 500

2x < 497

x < 248.5, so x = 248

So we have the integers 248, 249, 250, and 251.