# What is the sum of the first 50 consecutive odd numbers?

the sum of first 50 consecutive odd numbers is 9801

### What 3 consecutive odd numbers total 270?

The sum of two odd numbers is even and the sum of an even number and an odd number is odd. So the sum of three consecutive odd numbers is odd but 270 is even. Ergo there are no three consecutive odd numbers that sum to 270. Three consecutive numbers that sum to 270 are 89, 90, 91. Three consecutive even numbers that sum to 270 are 88, 90, 92.

### What are four consecutive numbers that add up to 35?

There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.