The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 48 are [1, 2, 3, 4, 6, 8, 12, 16, 24, 48]. They share 5 factors [1, 2, 4, 8, 16] making 16 the greatest factor 80 and 48 have in common.

The equation for this sequence is:

a_n = a_n-1 + 2

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
a₆ = 9 + 2
a₆ = 11

To add these distances, they must share the same unit so first you need to first convert the swim distance from meters (m) to kilometers (km) before adding it to the bike and run distances which are already in km. To convert 300 meters to kilometers, divide the distance by 1000 to get 0.3km then add the remaining distances:

total distance = swim + bike + run
total distance = 0.3km + 50.2km + 11.600000000000001km
total distance = 62.1km

To add these radicals together their radicands must be the same:

9\( \sqrt{45} \) + 5\( \sqrt{5} \)
9\( \sqrt{9 \times 5} \) + 5\( \sqrt{5} \)
9\( \sqrt{3^2 \times 5} \) + 5\( \sqrt{5} \)
(9)(3)\( \sqrt{5} \) + 5\( \sqrt{5} \)
27\( \sqrt{5} \) + 5\( \sqrt{5} \)

Now that the radicands are identical, you can add them together:

The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 have in common.