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 fill a 16 gallon tank exactly halfway you'll need 8 gallons of fuel. Each fuel can holds 2 gallons so:

cans = \( \frac{8 \text{ gallons}}{2 \text{ gallons}} \) = 4

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

3z⁶ x 8z²
(3 x 8)z^{(6 + 2)}
24z⁸

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

2 + (3 + 3) ÷ 3 x 3 - 3²
P: 2 + (6) ÷ 3 x 3 - 3²
E: 2 + 6 ÷ 3 x 3 - 9
MD: 2 + \( \frac{6}{3} \) x 3 - 9
MD: 2 + \( \frac{18}{3} \) - 9
AS: \( \frac{6}{3} \) + \( \frac{18}{3} \) - 9
AS: \( \frac{24}{3} \) - 9
AS: \( \frac{24 - 27}{3} \)
\( \frac{-3}{3} \)
-1

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.