The equation for this sequence is:

a_n = a_n-1 + 4

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
a₆ = 17 + 4
a₆ = 21

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 10 are [10, 20, 30, 40, 50, 60, 70, 80, 90]. The first few multiples they share are [30, 60, 90] making 30 the smallest multiple 6 and 10 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 5}{6 x 5} \) - \( \frac{8 x 3}{10 x 3} \)

\( \frac{15}{30} \) - \( \frac{24}{30} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{15 - 24}{30} \) = \( \frac{-9}{30} \) = -\(\frac{3}{10}\)

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{25\sqrt{35}}{5\sqrt{5}} \)
\( \frac{25}{5} \) \( \sqrt{\frac{35}{5}} \)
5 \( \sqrt{7} \)

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

\( \frac{2}{6} \) x \( \frac{3}{5} \) = \( \frac{2 x 3}{6 x 5} \) = \( \frac{6}{30} \) = \(\frac{1}{5}\)

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).