The equation for this sequence is:

a_n = a_n-1 + 3

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
a₆ = 13 + 3
a₆ = 16

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

8\( \sqrt{8} \) + 2\( \sqrt{2} \)
8\( \sqrt{4 \times 2} \) + 2\( \sqrt{2} \)
8\( \sqrt{2^2 \times 2} \) + 2\( \sqrt{2} \)
(8)(2)\( \sqrt{2} \) + 2\( \sqrt{2} \)
16\( \sqrt{2} \) + 2\( \sqrt{2} \)

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

The ratio of football cards to baseball cards is 5:2 and the ratio of baseball cards to basketball cards is 5:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 25:10 and the ratio of baseball cards to basketball cards as 10:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 25:10, 10:2 which reduces to 25:2.

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:

-3b⁵ x 5b³
(-3 x 5)b^{(5 + 3)}
-15b⁸

Calculate the number of vans needed by dividing the number of people that need transported by the capacity of one van:

vans = \( \frac{95}{7} \) = 13\(\frac{4}{7}\)

So, it will take 13 full vans and one partially full van to transport the entire team making a total of 14 vans.