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$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$, ......

The sequence of numbers shown is defined by $$a_{1}$$=4, $$a_{2}$$=5, and $$a_{n}$$=2$$a_{n-1}$$+$$a_{n-2}$$ for all integers greater than 2. Which of the following is a number in the sequence?
$$x^{-2}=4$$

Quantity A

|x|

Quantity B

$$x^{2}$$


At a constant rate of $$\frac{x}{6}$$ miles for every $$y$$ seconds, how many minutes would it take an aircraft to travel $$z$$ miles? ($$xyz \neq 0$$)
If $$1 \lt r \lt s \lt t \lt 2$$, then, of the following, which is closest to $$r+(s\times10^{6})+(t\times10^{12})$$?
Honoring science as an international endeavor, the Royal Society of London has always been committed to political (i)______________. Consequently, the society refused to (ii)_______________ members from enemy nations during the world wars of the twentieth century.
After decades of research, engineers were (i)____________ the (ii)____________ bending and breaking of layered materials. However, new findings from materials science and engineering research have (iii)____________ their understanding of how such materials are deformed by stresses and strains.
Despite a reputation, once richly deserved, for ____________ in adopting new technologies, most big carmakers are pouring resources both into battery power and other alternative forms of propulsion, and into automated driving.
The author mentions "satellites of giant planets" in order to
Three different television models—$$K$$, $$N$$, and $$P$$—are for sale at a local store. The cost of model $$K$$ is $$20$$ percent greater than the cost of model $$N$$, and the cost of model $$N$$ is $$25$$ percent greater than the cost of model $$P$$. The cost of model $$K$$ is what percent greater than the cost of model $$P$$?
A list of six numbers has a standard deviation of 0. A new list is created by increasing each number from the original list by 10 and then dividing each of the six results by 7. What is the standard deviation of the new list of six numbers?


The solid shown above is composed of four identical solid cubes, each with sides of length 2. What is the surface area of the solid?
One of the reporter's central themes is that health care concerns were a secondary consideration to the reformers in their drive to limit if not completely ____________ the consumption of cigarettes.
The primary purpose of the passage is to
It is often the case that a certain intellectual advantage may be found by being (i)____________ an established field of knowledge, but even if you accept the argument about the importance of (ii)____________ thinking, it is hardly the only significant thinking there is.
Fara's book is no ordinary account of how scientific knowledge has accumulated. Instead, Fara focuses on how science has been guided by social and political factors. Her aim is to (i)____________ the notion of science as an objective search for truth. The study is an impressive (ii)___________ the idealization of science. Yet Fara takes her argument too far by (iii)_____________ how the knowledge produced by science relates to the external world: she treats all theories as equal, regardless of whether they are supported by evidence.
The total annual rainfall during year X in Nairobi was 29.9 inches. Approximately what percent of the total annual rainfall occurred during April?
Given 14 consecutive integers, if the sum of the first 7 integers is S, what is the sum of the other 7 integers, in terms of S?


An experiment has five possible outcomes — A, B, C, D, and E. The table shows the probabilities of three of the five outcomes. The probability of outcome C is twice the probability of outcome E.

Quantity A

The probability of outcome E

Quantity B

$$\frac{1}{9}$$


If $$y=(x-2)(x-1)(x+1)$$, which of the following graphs indicates all of the values of $$x$$ for which $$y$$ is positive?

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