Best Answer

The square is 1 more than the other calculation.

The proof is quite simple: Let the numbers be x, x + 1 and x + 2

(x + 1)2 = x2 + 2x + 1;

x times x + 2 = x2 + 2x.

There is a difference of 1 whatever the value of x.

Q: Take three consecutive numbers square the middle one and multiply the first by the third and what do you notice?

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If you notice something, it is [most likely] a false impression. There is no known pattern to prime numbers.

The new number has four factors: 1, the two prime numbers and the new product.

When u continue to multiply by 3 u will see that all of the numbers will be EVEN or ODD.

What do you notice aboutthe numbers of fractors of square numbers

The difference between the squares of two consecutive numbers is the sum of those two numbers. For example: 2 squared is 4. 3 squared is 9. 9-4=5 2+3=5 This is for a very simple reason: To go from 2x2 or '2 lots of two' to '3 lots of two' (3x2) we must add another two. 3 lots of two equals 2 lots of three. To get to three lots of two we need another three. We have added two then three, or 2+3. You can also apply this rule two numbers further apart, but to discover their squares' difference you must add them together and multiply by their difference EG. 2 squared is 4 4 squared is 16 16-4= 12 (2+4)x2=12

Related questions

If you notice something, it is [most likely] a false impression. There is no known pattern to prime numbers.

The new number has four factors: 1, the two prime numbers and the new product.

When u continue to multiply by 3 u will see that all of the numbers will be EVEN or ODD.

The difference is that if you multiply with a whole number and then multiply with a decimal and you compare.You will notice the whole number is greater.You are very welcome.

If you look at the ratios between consecutive numbers, you'll notice that the first ratio is 2, followed by 3 and 4.

What do you notice aboutthe numbers of fractors of square numbers

Since 270 is an even number, then three consecutive odd numbers cannot add to 270. ,because Odd + odd = even (2 numbers_ Even + odd = odd ( plus a third number) odd + odd = even (plus a fourth number) even + odd = odd (plus a fifth number) Notice from the table that the third odd number gives an odd answer; not an even answer. e.g. three odd numbers 3,5, & 7. 3 + 5 = 8 (even) 8 + 7 = 15 ( odd) et. seq.,

Take the average of the middle numbers. Example: 1,2,3,4,5,6 The median would be (3+4)/2 = 3.5 (notice how it falls in the middle)

I notice that the sum of two odd numbers is an even number.

there even and they are mostly composite numbers

Notice

The difference between the squares of two consecutive numbers is the sum of those two numbers. For example: 2 squared is 4. 3 squared is 9. 9-4=5 2+3=5 This is for a very simple reason: To go from 2x2 or '2 lots of two' to '3 lots of two' (3x2) we must add another two. 3 lots of two equals 2 lots of three. To get to three lots of two we need another three. We have added two then three, or 2+3. You can also apply this rule two numbers further apart, but to discover their squares' difference you must add them together and multiply by their difference EG. 2 squared is 4 4 squared is 16 16-4= 12 (2+4)x2=12