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Yes. One has to be the square of an odd number. The other square has to the the square of the even number either before or after the odd number. If this is confusing just plug in real values. In either case, an odd times and odd is odd. Therefore one of the squares has to be odd. AN even times an even, however, is always even. Therefore, the second square has to be even. Thus, one of the squares is even and the other is odd. An even plus and odd is always odd.

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โˆ™ 2011-03-20 22:46:01
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Q: Is the sum of two square consecutive numbers an odd number?
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Related questions

What are all the odd consecutive numbers?

Two odd numbers are said to be consecutive if there are no other odd numbers in between. This happens when the first number is odd, and the second number is two more than the first number.


Can two consecutive numbers be even. Why or Why not?

No, because every other number in the number line is odd so therefore if you have any number of consecutive numbers you will have at least one odd number (if you're talking about consecutive numbers on a number line).


What is the sum of the first 950 consecutive odd numbers?

The sum of the first 950 consecutive odd numbers is 902,500. This is actually a very easy calculation. To determine the sum of any number of consecutive odd numbers beginning with the number 1, simply square the number. In your case, 950 squared is 902,500.


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 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.


Are odd numbers in square numbers?

Half of all square numbers are odd. They are the ones which are the square of an odd number.


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There are no two consecutive odd numbers.


The sum of the square of two consecutive positive even numbers is 52 what is the smaller number?

There are none. However, there are two consecutive positive odd numbers: 25 and 27.


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.


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.


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.


All multiples of odd natural number can be written as the sum of consecutive natural numbers?

No. Odd numbers can be written as the sum of consecutive integers, but some multiples of odd numbers are even.


Can you explain why some square numbers are odd numbers?

The square of any odd number is also an odd number for reasons that should be obvious.


What is the sum of the first 1600 consecutive odd numbers?

The sum of consecutive numbers (starting with 1), is the square of the number of terms you sum, in this case 1600. 1600^2 = 2,560,000


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Consecutive even numbers are any even numbers which are separated by one (uneven) number... so that 6 and 8 are consecutive even numbers... as are 22, 24 and 26. Similarly, consecutive odd numbers are numbers which are separated by one (even) number... so that 11 and 13 are consecutive odd numbers... as are 31, 33 and 35.


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The consecutive odd number with a product of 12099 are 109 and 111.


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What are all the odd square numbers?

There are infinitely many of them. The square of every odd number will be an odd square number.


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Square numbers have an odd number of factors.


What 3 consecutive odd numbers total 270?

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What is the HCF of two consecutive odd numbers?

The GCF of consecutive odd numbers is 1.


Which number has an odd number of different factors?

All square numbers have an odd number of factors.


What type of numbers has an odd number of factors?

Square numbers have an odd number of factors.


What are the whole numbers have an odd number of factors?

Square numbers have an odd number of factors.


What middle numbers have an odd number of factors?

Square numbers have an odd number of factors.