The equation for this sequence is:

a_n = a_n-1 + 2(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 + 2(6 - 1)
a₆ = 21 + 2(5)
a₆ = 31

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $200
i = 0.06 x $200
i = $12

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 fractions, first find the lowest common multiple of their denominators. The first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40] and the first few multiples of 12 are [12, 24, 36, 48, 60, 72, 84, 96]. The first few multiples they share are [12, 24, 36, 48, 60] making 12 the smallest multiple 4 and 12 share.

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

\( \frac{5 x 3}{4 x 3} \) - \( \frac{3 x 1}{12 x 1} \)

\( \frac{15}{12} \) - \( \frac{3}{12} \)

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

\( \frac{15 - 3}{12} \) = \( \frac{12}{12} \) = 1

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

4 + (5 + 2) ÷ 3 x 4 - 2²
P: 4 + (7) ÷ 3 x 4 - 2²
E: 4 + 7 ÷ 3 x 4 - 4
MD: 4 + \( \frac{7}{3} \) x 4 - 4
MD: 4 + \( \frac{28}{3} \) - 4
AS: \( \frac{12}{3} \) + \( \frac{28}{3} \) - 4
AS: \( \frac{40}{3} \) - 4
AS: \( \frac{40 - 12}{3} \)
\( \frac{28}{3} \)
9\(\frac{1}{3}\)