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 simplify a radical, factor out the perfect squares:

\( \sqrt{112} \)
\( \sqrt{16 \times 7} \)
\( \sqrt{4^2 \times 7} \)
4\( \sqrt{7} \)

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

9\( \sqrt{8} \) x 7\( \sqrt{5} \)
(9 x 7)\( \sqrt{8 \times 5} \)
63\( \sqrt{40} \)

Now we need to simplify the radical:

63\( \sqrt{40} \)
63\( \sqrt{10 \times 4} \)
63\( \sqrt{10 \times 2^2} \)
(63)(2)\( \sqrt{10} \)
126\( \sqrt{10} \)

To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so add the coefficients and retain the base and exponent:

-4x⁷ + 8x⁷
(-4 + 8)x⁷
4x⁷

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