The equation for this sequence is:

a_n = a_n-1 + 8

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 + 8
a₆ = 33 + 8
a₆ = 41

Jennifer scored 94% on the test meaning she earned 94% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.94 = 188 points. Each question is worth 4 points so she got \( \frac{188}{4} \) = 47 questions right.

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

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

If 48% of the town's 49,000 voters cast ballots the number of votes cast is:

(\( \frac{48}{100} \)) x 49,000 = \( \frac{2,352,000}{100} \) = 23,520

The mayor got 70% of the votes cast which is:

(\( \frac{70}{100} \)) x 23,520 = \( \frac{1,646,400}{100} \) = 16,464 votes.