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

\( \frac{14 + 10 + 16 + 8}{4} \) = \( \frac{48}{4} \) = 12

1

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

2\( \sqrt{8} \) x 2\( \sqrt{3} \)
(2 x 2)\( \sqrt{8 \times 3} \)
4\( \sqrt{24} \)

Now we need to simplify the radical:

4\( \sqrt{24} \)
4\( \sqrt{6 \times 4} \)
4\( \sqrt{6 \times 2^2} \)
(4)(2)\( \sqrt{6} \)
8\( \sqrt{6} \)

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

If 62% of the town's 45,000 voters cast ballots the number of votes cast is:

(\( \frac{62}{100} \)) x 45,000 = \( \frac{2,790,000}{100} \) = 27,900

The mayor got 62% of the votes cast which is:

(\( \frac{62}{100} \)) x 27,900 = \( \frac{1,729,800}{100} \) = 17,298 votes.