The equation for this sequence is:

a_n = a_n-1 + 6

where n is the term's order in the sequence, a_n is the value of the term, and a_n-1 is the value of the term before a_n. This makes the next number:

a₆ = a₅ + 6
a₆ = 25 + 6
a₆ = 31

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

To subtract these radicals together their radicands must be the same:

6\( \sqrt{12} \) - 7\( \sqrt{3} \)
6\( \sqrt{4 \times 3} \) - 7\( \sqrt{3} \)
6\( \sqrt{2^2 \times 3} \) - 7\( \sqrt{3} \)
(6)(2)\( \sqrt{3} \) - 7\( \sqrt{3} \)
12\( \sqrt{3} \) - 7\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{9} \) ÷ \( \frac{2}{6} \) = \( \frac{4}{9} \) x \( \frac{6}{2} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{9} \) x \( \frac{6}{2} \) = \( \frac{4 x 6}{9 x 2} \) = \( \frac{24}{18} \) = 1\(\frac{1}{3}\)