The common ratio of the sequence -7, -14, -28, … is ____________.

• A) -2
• B) -7
• C) 7
• D) 2

The $n^{th}$-term of a geometric sequence with common ratio $r$ is given by:

• A) $a_n = a_1 r^{\,n-1}$
• B) $a_n = a_1 r^{\,n}$
• C) $a_n = n a_1 r$
• D) $a_n = n a_1 r^{\,n}$

A geometric sequence is characterized by the presence of which of the following properties?

• A) None of the given choices
• B) A common ratio
• C) Sum of the terms
• D) A common difference

The general notation $a_n$ for a sequence represents the __________.

• A) sum of all the terms
• B) $n^{th}$ term of the sequence
• C) number of terms in the sequence
• D) none of them

An infinite series is best defined as:

• A) A sequence with infinitely many terms
• B) A function defined on the real numbers
• C) The limit of a sequence
• D) The sum of the terms of a sequence

0, 2, 4, 8, ... is a/an ____________ sequence.

• A) harmonic
• B) alternative
• C) geometric
• D) arithmetic

If a function $f(x)$ is continuous over the interval [a,b), then $\int_a^b f(x)\,dx =$_____________.

• A) $\lim_{t \to a^+} \int_t^b f(x)\,dx$
• B) $\lim_{t \to a^-} \int_t^b f(x)\,dx$
• C) $\lim_{t \to b^+} \int_a^t f(x)\,dx$
• D) $\lim_{t \to b^-} \int_a^t f(x)\,dx$

In a geometric sequence, the constant value obtained by dividing any term by its preceding term is called:

• A) Average rate
• B) Common ratio
• C) Fixed difference
• D) Growth factor

If $\lim_{t \to b^-} \int_a^t f(x)\, dx$ results in a finite real number, the integral is said to be _________.

• A) undefined
• B) proper integral
• C) divergent
• D) convergent

The fourth term of the sequence 1, 10, 19, ... is _________.

• A) 30
• B) 29
• C) 27
• D) 28

What happens to the sum of an absolutely convergent series if its terms are rearranged?

• A) The sum becomes zero.
• B) The sum changes to a different finite value.
• C) The sum remains the same.
• D) The series diverges.

Which of the following is a necessary condition for a series to be conditionally convergent?

• A) The series must diverge, but the series of absolute values must converge.
• B) The series must converge, but the series of absolute values must diverge.
• C) The series must have only positive terms.
• D) The terms must approach a non-zero constant.