The equation for this sequence is:

a_n = a_n-1 + 4(n - 1)

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 + 4(6 - 1)
a₆ = 41 + 4(5)
a₆ = 61

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:

\( \frac{3}{5} \) ÷ \( \frac{4}{6} \) = \( \frac{3}{5} \) x \( \frac{6}{4} \)

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

\( \frac{3}{5} \) x \( \frac{6}{4} \) = \( \frac{3 x 6}{5 x 4} \) = \( \frac{18}{20} \) = \(\frac{9}{10}\)

The greatest common factor (GCF) is the greatest factor that divides two integers.

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

2\( \sqrt{75} \) + 5\( \sqrt{3} \)
2\( \sqrt{25 \times 3} \) + 5\( \sqrt{3} \)
2\( \sqrt{5^2 \times 3} \) + 5\( \sqrt{3} \)
(2)(5)\( \sqrt{3} \) + 5\( \sqrt{3} \)
10\( \sqrt{3} \) + 5\( \sqrt{3} \)

Now that the radicands are identical, you can add them together: