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

If 75% of the town's 31,000 voters cast ballots the number of votes cast is:

(\( \frac{75}{100} \)) x 31,000 = \( \frac{2,325,000}{100} \) = 23,250

The mayor got 56% of the votes cast which is:

(\( \frac{56}{100} \)) x 23,250 = \( \frac{1,302,000}{100} \) = 13,020 votes.

To simplify this fraction, first find the greatest common factor between them. The factors of 20 are [1, 2, 4, 5, 10, 20] and the factors of 52 are [1, 2, 4, 13, 26, 52]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{20}{52} \) = \( \frac{\frac{20}{4}}{\frac{52}{4}} \) = \( \frac{5}{13} \)

To find the average of these 4 numbers add them together then divide by 4:

\( \frac{17 + 13 + 16 + 14}{4} \) = \( \frac{60}{4} \) = 15

To fill a 8 gallon tank exactly halfway you'll need 4 gallons of fuel. Each fuel can holds 2 gallons so:

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