The equation for this sequence is:

a_n = a_n-1 + 9

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 + 9
a₆ = 37 + 9
a₆ = 46

Use PEMDAS (Parentheses, Exponents, Multipy/Divide, Add/Subtract):

2 + (2 + 2) ÷ 2 x 2 - 4²
P: 2 + (4) ÷ 2 x 2 - 4²
E: 2 + 4 ÷ 2 x 2 - 16
MD: 2 + \( \frac{4}{2} \) x 2 - 16
MD: 2 + \( \frac{8}{2} \) - 16
AS: \( \frac{4}{2} \) + \( \frac{8}{2} \) - 16
AS: \( \frac{12}{2} \) - 16
AS: \( \frac{12 - 32}{2} \)
\( \frac{-20}{2} \)
-10

The amount of flour you need is (3\(\frac{5}{8}\) - \(\frac{5}{8}\)) cups. Rewrite the quantities so they share a common denominator and subtract:

(\( \frac{29}{8} \) - \( \frac{5}{8} \)) cups
\( \frac{24}{8} \) cups
3 cups

The ratio of football cards to baseball cards is 3:2 and the ratio of baseball cards to basketball cards is 3:1. 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 9:6 and the ratio of baseball cards to basketball cards as 6:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 9:6, 6:2 which reduces to 9:2.

The factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56] and the factors of 32 are [1, 2, 4, 8, 16, 32]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 56 and 32 have in common.