# odd numbers

### If a is an even integer and b is an odd integer then prove a − b is an odd integer

If a is an even integer and b is an odd integer then prove a − b is an odd integer Let a be our even integer Let b be our odd integer We can...
Thread by: math_celebrity, Jan 28, 2024, 0 replies, in forum: Calculator Requests

### Prove there is no integer that is both even and odd

Let us take an integer x which is both even and odd. As an even integer, we write x in the form 2m for some integer m As an odd integer, we write...
Thread by: math_celebrity, Jan 27, 2024, 0 replies, in forum: Calculator Requests

### Prove the sum of two odd numbers is even

Take two arbitrary integers, x and y We can express the odd integer x as 2a + 1 for some integer a We can express the odd integer y as 2b + 1 for...
Thread by: math_celebrity, Jan 22, 2024, 0 replies, in forum: Calculator Requests

### if 2z-1 is an odd integer what is the preceding odd integer?

if 2z-1 is an odd integer what is the preceding odd integer? The preceding odd integer is found by subtracting 2: 2z - 1 - 2 2z - 3
Thread by: math_celebrity, Jan 3, 2022, 0 replies, in forum: Calculator Requests

### If n represents an odd integer what represents the previous smaller odd integer

If n represents an odd integer what represents the previous smaller odd integer Each odd integer is 2 away from the last one, so the previous...
Thread by: math_celebrity, Jul 11, 2020, 0 replies, in forum: Calculator Requests

### 2 consecutive odd integers such that their product is 15 more than 3 times their sum

2 consecutive odd integers such that their product is 15 more than 3 times their sum. Let the first integer be n. The next odd, consecutive...
Thread by: math_celebrity, Nov 18, 2018, 0 replies, in forum: Calculator Requests