Give the sum of the greatest five consecutive even numbers less than 7000.

If you want that sum to be less than 7000

x + x+2 + x+4 + x+6 + x+8 = 7000
5x = 6980
x = 1396

so 1396 + 1398 + 1400 + 1402 + 1404 = 7000
but you want the sum to be < 7000
so 1394 + ... 1402 = 6990

if you want the numbers to be less than 7000
6998 + 6996 + 6994 + 6992 + 6990 = 34970

1000

6998

To find the sum of the greatest five consecutive even numbers less than 7000, we can start by determining the largest even number less than 7000.

The largest even number less than 7000 is 6998 since it is the closest even number that is less than 7000.

Now we can find the four consecutive even numbers that come before 6998. We can do this by subtracting 2 from each consecutive number.

The consecutive even numbers will be: 6998, 6996, 6994, 6992, and 6990.

To find the sum of these numbers, we can add them together:

6998 + 6996 + 6994 + 6992 + 6990 = 34970.

Therefore, the sum of the greatest five consecutive even numbers less than 7000 is 34970.