The equation for this sequence is:

a_n = a_n-1 + 3(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 + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

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

\( \frac{1}{7} \) ÷ \( \frac{3}{9} \) = \( \frac{1}{7} \) x \( \frac{9}{3} \)

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

\( \frac{1}{7} \) x \( \frac{9}{3} \) = \( \frac{1 x 9}{7 x 3} \) = \( \frac{9}{21} \) = \(\frac{3}{7}\)

Monica scored 95% on the test meaning she earned 95% of the possible points on the test. There were 80 possible points on the test so she earned 80 x 0.95 = 76 points. Each question is worth 2 points so she got \( \frac{76}{2} \) = 38 questions right.

An integer is any whole number, including zero. An integer can be either positive or negative. Examples include -77, -1, 0, 55, 119.

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

6\( \sqrt{80} \) - 2\( \sqrt{5} \)
6\( \sqrt{16 \times 5} \) - 2\( \sqrt{5} \)
6\( \sqrt{4^2 \times 5} \) - 2\( \sqrt{5} \)
(6)(4)\( \sqrt{5} \) - 2\( \sqrt{5} \)
24\( \sqrt{5} \) - 2\( \sqrt{5} \)

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