describing the pattern for a set of numbers...HELP PLEASE?

Question

i need help on my math homeworkk which involves all this decrbing the pattern and for what i have on my paper it says:

9,16,25,36,?,?,?

can someone pls help me by finding the next 3 numbers? i tried a whole bunch of times to find out the pattern but i guess my brain isnt working =[

and if sombody is also nice enough to help me go over and review the three properties: commutative, associative, and distributive property pls i am having a bit of trouble trying to remember what all of them mean...THANK YOU! all answers are appreciated...

Answer 1

Your pattern involves perfect squares:

3X3
4X4
5X5
6X6

so 7X7=49
8X8 = 64
9X9 =81

Answer 2

These are squared numbers, starting with 3, so the next in the pattern will be 7^2, 8^2, and 9^2 or 49, 64, 81.

associative property = a number can "associate" with any number in the equation. So for 2a+7+3, 7 can "associate" with either 2a or with 3:
(2a+7)+3 or 2a+(7+3)
It's basically where you put the parenthesis.

Commutative property is very much like the associative property. Think about what it means to commute to school or to work. You move from one place to another. Same for numbers - you move them around in the equation to make the equation easier to solve. This is handy when you need to find the sum of a long string of numbers, such as 6+2+1+9+8+3+7+4. Using the cummutative property, you can group, or move the numbers in sets of 10, rather than trying to add up the numbers in the original order: (6+4)+(2+8)+(1+9)+(3+7)=40

Distributive property: This is where you distribute multiplied numbers into the numbers in parentheses.
Take the equation 2a(y+3). Using the distributive property, you distribute 2a to both y and 3 as such:
2ay+6a.

Answer 3

The difference between 9 and 16 is 7.
The difference between 16 and 25 is 9.
The differecne between 25 and 36 is 11.

So the pattern is that you add consectutive odd numbers to the number.

So the next number in the pattern would be 36 + 13.

Then the next number in the pattern would be (36 + 13) + 15

And so on, until you find all the numbers you need.

Answer 4

9-16-25-36-49-64-81

you +2 to the number.

like 16-9=7+2=9+16=25 and so on

Answer 5

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Answer 6

the next 3 numbers are.....49....64.....81
i got that answer because there is 9 between 9 & 16.....11 between 16 & 25.....13 between 25 & 36....which means it is going up by odd numbers. I hope that helps

as for the porperties...i cannot help with that....sorry

Answer 7

49, 64, 81

Answer 8

45,64 why am I tell you God knows

Answer 9

49, ...