contestada

What is the least number of distinct integers that can be chosen from the sequence 1, 3, 5, 7 ... 97, 99 so that it is guaranteed that two of them will have a sum of 102?

Respuesta :

Answer:

You can find two numbers from the given sequence that add up to 102 with only two distinct integers.

This is because the sequence consists of consecutive odd numbers. When two odd numbers are added, the result is always even.

In this specific sequence, the target sum is 102, which is even. Since any sum of two odd numbers is odd, you'll need to select one even number (100) and one odd number (2) from the sequence to reach 102.

Therefore, you only need 2 distinct integers from the sequence to guarantee a sum of 102.

Step-by-step explanation: