Mock Test_5-31_Multiple Integration

Fill in the blank: The subscript n that appears in a_n is called an ______.

• term

• index

• sequence

• series

What is a term in a sequence?

• A number in the sequence

• The sum of the sequence

• The product of the sequence

• The difference in the sequence

Fill in the blank: Sequences are denoted in any of the following forms: {a_1, a_2, a_3, ..., a_n, ...}, {a_n}^∞_{n=1}, or ______.

• {a}

• {a_n}

• {n_a}

• {n}

What is the value of a_4 in the sequence a_n = 1/2^n?

• 1/16

• 1/8

• 1/4

• 1/2

Fill in the blank: The sequence {1, 4, 7, 10, ...} can be defined in two ways. One way is using a recurrence relation, and the other is using an __ formula.

• implicit

• explicit

• hidden

• complex

In Example 3, what is the next term in the sequence {a_n} = {-2, 5, 12, 19, ...}?

• 26

• 27

• 28

• 29

In Example 4, what is the limit of the sequence a. {(-1)^n / (n^2 + 1)}?

• 1

• 0

• -1

• Infinity

Fill in the blank: The sequence c. {a_n} where a_(n+1) = -2a_n, a_1 = 1, has terms that ______ in magnitude.

• decrease

• increase

• remain constant

• oscillate

What is the fourth term of the sequence c. {a_n} where a_(n+1) = -2a_n, a_1 = 1?

• 4

• -4

• 8

• -8

What is the high point after the 20th bounce using the explicit formula?

• 0.21 ft

• 0.31 ft

• 0.41 ft

• 0.51 ft