Which monomial is a perfect cube?

1x3

3x3

6x3

9x3

Option (a) is correct.

is a perfect cube.

Step-by-step explanation:

 Given : Some Monomial

We have to choose out of given monomial that is a perfect cube.

Perfect cubes are numbers that can be written as

So, consider , we know 1 can be written as

Thus,   can be written as  

Thus, Option (a) is correct.

Option A is correct

Step-by-step explanation:

Perfect cube is a number that is the cube of any integer number.

For example:

From the given options we have to find which monomial is a perfect cube.

Consider the  monomial .

We can write 1 as:

It can be written as:

Therefore,   monomial is a perfect cube

i pretty sure it is

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for