Answer:
|-4|, |-4 1/4|, 4 1/2, 4 3/4
Step-by-step explanation:
The absolute value lines, | |, make the value inside of them positive. For example, the absolute value of -2 is 2. In this example, although -4 and -4 1/4 become positive, they are still lower than 4 1/2 and 4 3/4.
They are equivalent to each other
Answer:
a. an = -1 • 4^(n - 1)
Step-by-step explanation:
It's easy see that each term is multiplied by 4 to get the next term, so the common ratio will be 4, that reduces the choices to answers A and B (since C and D use -1 as common ratio). Also, normally a geometric progression uses "n-1", so we'll first try with A to see if it works.
a1 = (-1) * 4^0 = -1 * 1 = -1
a2 = (-1) * 4^1 = -1 * 4 = -4
a3 = (-1) * 4^2 = -1 * 16 = -16
Yes, it works... so the answer is an = -1 • 4^(n - 1)