Introduction to sequences

1003084901

Level:

We were given a sequence

{(2 n)}_{n = 1}^{\infty}

. What does this formula express?

a sequence of all even natural numbers

a sequence of all natural numbers

a sequence of all odd natural numbers

a sequence of all natural numbers that are divisible by

5

1003084902

Level:

We are given a sequence

{(3 n - 2)}_{n = 1}^{\infty}

. What does this formula express?

a sequence of all natural numbers which after dividing by

3

give the remainder

1

a sequence of all natural numbers which are divisible by

3

a sequence of all natural numbers which are divisible by

2

a sequence of all odd natural numbers

1003084903

Level:

The table contains ordered pairs of numbers

[n; a_{n}]

\begin{array}{cccccc} n & 1 & 2 & 3 & 4 & 5 \\ a_{n} & - 1 & 1 & - 2 & 2 & - 3 \end{array}

Which sequence is defined by the table?

{(a_{n})}_{n = 1}^{5} = - 1, 1, - 2, 2, - 3

{(a_{n})}_{n = 1}^{10} = 1, - 1, 2, 1, 3, - 2, 4, 2, 5, - 3

{(a_{n})}_{n = 1}^{5} = 1, 2, 3, 4, 5

{(a_{n})}_{n = 1}^{5} = 0, 3, 1, 6, 2

1003084904

Level:

We were given a sequence

{(\frac{1}{n})}_{n = 1}^{\infty}

. Which expression describes the term

a_{n - 1} (n \in N; n > 1)

of the given sequence?

a_{n - 1} = \frac{1}{n - 1}

a_{n - 1} = n - 1

a_{n - 1} = \frac{1}{n}

a_{n - 1} = \frac{1}{2 n - 1}

1003084906

Level:

We are given a sequence

{(\frac{n + 1}{n})}_{n = 1}^{\infty}

. Which of the following formulations describes how is the given sequence defined?

defined by a formula for the

n

th term

defined by a list of the sequence elements

defined by a graph of the sequence

defined by a recursive formula for the sequence

1003084907

Level:

A sequence

{(a_{n})}_{n = 1}^{\infty}

is defined by the relations:

a_{1} = 3; a_{n + 1} = \frac{a_{n}}{n + 2}, n \in N

. Which of the following descriptions is used to define the given sequence?

a recursion formula of a sequence

a formula of the

n

th term

a list of sequence elements

a graph of a sequence

1003085001

Level:

We were given the sequence

{(\frac{1}{3^{n}})}_{n = 1}^{\infty}

. What are its first five terms?

\frac{1}{3}

\frac{1}{9}

\frac{1}{27}

\frac{1}{81}

\frac{1}{243}

3

9

27

81

243

3

6

9

12

15

\frac{1}{3}

\frac{1}{6}

\frac{1}{9}

\frac{1}{12}

\frac{1}{15}

1003085002

Level:

We were given the sequence

{(\frac{n + 3}{2 n})}_{n = 1}^{\infty}

. What are its first five terms?

2

\frac{5}{4}

1

\frac{7}{8}

\frac{4}{5}

\frac{4}{5}

\frac{7}{8}

1

\frac{5}{4}

2

2

\frac{4}{5}

1

\frac{8}{7}

\frac{5}{4}

\frac{1}{2}

\frac{2}{3}

\frac{3}{4}

\frac{4}{5}

\frac{5}{6}

1003085003

Level:

We were given the sequence

{(\sin (n \cdot \frac{π}{2}))}_{n = 1}^{\infty}

. What are the first five terms?

1

0

- 1

0

1

1

0

1

0

1

- 1

0

1

0

1

0

- 1

0

1

0

1003085004

Level:

A sequence

{(a_{n})}_{n = 1}^{\infty}

is defined by the recursive formula

a_{1} = 1; a_{n + 1} = 3 a_{n}, n \in N

. What are its first five terms?

1

3

9

27

81

3

9

27

81

243

1

3

6

12

24

1

3

9

30

90

Introduction to sequences

1003084901

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1003084903

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