Question

Most numbers can be written as the sum of consecutive integers. But it does not have some rare numbers. Find such a number between 5000 and 10000

Pls answer and do not type abcd

Answer 1

Answer:

5000+10000-15000 =333444

Answer 2

Many integers can be expressed as the sum of two consecutive integers.

• When two integers are consecutive one of them is odd and the other is even.
• An even number is defined as the number whose units digit ends with 0,2,4,6, and 8.
• An odd number is defined as the number which is not divisible by 2 and their units digit end with 1, 3, 5,7, and 9.
• The sum of an odd number and an even number is always an odd number.
• When two consecutive numbers are added i.e an odd number and an even number are added, hence the sum would be an odd number.
• Hence even numbers cannot be written as the sum of two consecutive numbers.
• An odd number can be expressed as the sum of two consecutive numbers such as,

=> 3 = 1+2, 5 = 2+3, 7 = 3+4 and so on.

• Hence, any odd number can be expressed as the sum of two consecutive numbers.
• 5001 can be expressed as 2500+2501, 5003 = 2501+2502. Hence all the odd numbers except 1 can be expressed as the sum of two consecutive numbers.

Therefore, all the odd numbers except 1, can be expressed as the sum of two consecutive numbers.