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Let a=any integer. If a+(a+1)=2a+1. Any number multiplied by 2 will be even, and if we add 1 to this number, it will be an odd number.

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Q: Prove using algebra that the sum of two consecutive whole numbers is always an odd number?
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Related questions

Is the sum of two consecutive numbers always divisible by 2?

No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.


How do you make 92 with consecutive numbers?

Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.


What any two consecutive numbers add up to make 12?

Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.


What is always the sum of three consecutive whole numbers?

The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.


What types of numbers can always be written as the sum of two nonzero consecutive whole numbers?

ODD NUMBERS. If you take two consecutive whole (non zero) numbers then one will be an odd number and the other will be an even number. The sum of an odd number and an even number is always an odd number.


Will the product of 3 consecutive numbers always be even?

Yes because at least one of the consecutive numbers will be even, and if you times anything by an even number, the answer will always be even


What is the 2 consecutive numbers which equal 2862?

Any 2 consecutive will always add up to an odd number and the number given is an even number


The HCF of two consecutive numbers is always?

A factor is a number of which the number being considered is a multiple. Two consecutive numbers cannot both be multiples of 4, for instance, as there isn't 3 numbers in between them. They cannot in fact be multiples of any common number other than 1. Thus the HCF of two consecutive numbers must always be 1.


What two consecutive number have a product of 324?

No two consecutive numbers have a product that is an even number. Any two consecutive numbers include one odd number and one even number. The product of one odd number and one even number is always an odd number.


Why are 2 and 3 the only consecutive prime numbers?

And they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30 comes right after 29), and consecutive means "right next to," right? And we all know that even numbers can always be divided in half, so 2 and 3 are the only consecutive prime numbers.


What is the two consecutive numbers of 80?

This answer cannot be answered because two consecutive numbers consist of one odd number and one even number, and the sum of an odd number plus an even number is always an odd number.


Is there always a prime number between consecutive square numbers up to 100?

Yes.