What are the largest three consecutive even numbers that sum to less than 1000
It says largest even numbers not odd and even if it was asking about odd numbers she’d still be wrong because it says consecutive which means one after the other for example 1,2,3 all sum to 6 so it can not be 999/3 because that would be 333 Which is the same number.
To find the largest three consecutive even numbers that sum to less than 1000, we can start by breaking down the problem step by step.
Step 1: Determine the first even number.
Since we are looking for the largest three consecutive even numbers, we want to start as close to 1000 as possible. The largest even number less than 1000 is 998.
Step 2: Find the next two consecutive even numbers.
To find the next two consecutive even numbers, we subtract 2 from the first even number we found in Step 1. So, 998 - 2 = 996. Then we subtract 2 again from 996 to get 994.
Step 3: Calculate the sum of the three consecutive even numbers.
To find out whether the sum of these three consecutive even numbers is less than 1000, we add them together. 998 + 996 + 994 = 2988.
Step 4: Check if the sum is less than 1000.
Since the sum of the three consecutive even numbers is greater than 1000 (2988 > 1000), we need to find a smaller set of consecutive even numbers.
Step 5: Adjust the values and repeat the process.
To find a smaller sum, we need to adjust our starting point. We subtract 2 from 998 to get 996. Then we repeat the process by finding the next two consecutive even numbers. 996 - 2 = 994, and 994 - 2 = 992.
Step 6: Calculate the sum of the adjusted set of three consecutive even numbers.
Adding the three consecutive even numbers together: 996 + 994 + 992 = 2982.
Step 7: Check if the adjusted sum is less than 1000.
Since the sum of the adjusted set of three consecutive even numbers is still greater than 1000 (2982 > 1000), we need to repeat the process again.
Step 8: Adjust the values and repeat the process once more.
We subtract 2 from 996 to get 994. Then we find the next two consecutive even numbers: 994 - 2 = 992, and 992 - 2 = 990.
Step 9: Calculate the sum of the new set of three consecutive even numbers.
Adding the three consecutive even numbers together: 996 + 994 + 992 = 2980.
Step 10: Check if the new sum is less than 1000.
Since the sum of the new set of three consecutive even numbers is less than 1000 (2980 < 1000), we have found our solution.
Therefore, the largest three consecutive even numbers that sum to less than 1000 are 996, 994, and 992.
To find the largest three consecutive even numbers that sum to less than 1000, we need to follow these steps:
Step 1: Determine the largest even number less than 1000.
To find the largest even number less than 1000, we divide 1000 by 2 and then round down to the nearest whole number since we are looking for even numbers. This gives us the largest even number less than 1000, which is 998.
Step 2: Subtract 4 from the largest even number.
Since we are looking for three consecutive even numbers, we subtract 4 from the largest even number (998 - 4 = 994).
Step 3: Find the other two consecutive even numbers.
To find the other two consecutive even numbers, we subtract 2 from the previous number twice (994 - 2 - 2 = 990 and 990 - 2 = 988).
Therefore, the largest three consecutive even numbers that sum to less than 1000 are 988, 990, and 994.
Here's a clue:
999/3 = ?