Introduction to sequences

2000005806

Level:

In the sequence

{- 45, - 36, - 27, - 18, \dots}

each term can be obtained from previous term by adding

9

. Which of the following numbers is not a term in the sequence?

285

135

927

252

2000005807

Level:

We are given a sequence with the same difference between consecutive terms. We know it starts at

- 7

and its

4

th term is

11

. Find its

12

th term.

59

53

65

71

2000005809

Level:

Which of the following sequences does not contain a term equal to

256

a_{n} = (- 1)^{n} (n + 1)^{2}

a_{n} = \frac{(- 2)^{n}}{n + 4}

a_{n} = \frac{n^{2} - 516}{n}

a_{n} = (- 1)^{n} 2^{n}

2000005810

Level:

A sequence has

n

th term

3 n^{2} - 4 n + 1

. In the sequence, there are two consecutive terms that sum to

581

. Find the bigger one of these two terms?

320

11

261

10

2000010308

Level:

A sequence has

n

th term

\frac{1}{3 + 2 n}

. Which term of the sequence is the first to have the value less than

\frac{1}{200}

a_{99}

a_{98}

a_{101}

a_{102}

2000010309

Level:

A sequence has

n

th term

50 - \frac{1}{2} n^{2}

. Which term of the sequence is the first to have the value less than

0

a_{11}

a_{10}

a_{6}

a_{5}

2000010310

Level:

The

n

th term of a sequence is

{(\frac{1}{2})}^{n}

. Find the difference between the

5

th and the

8

th term of the sequence.

\frac{7}{256}

\frac{3}{128}

- \frac{7}{256}

0

2010000401

Level:

We are given a sequence

{(\frac{n}{n + 1})}_{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

2010000403

Level:

We are given a sequence

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

. What does this formula express?

a sequence of all natural numbers which after dividing by

5

give the remainder

2

a sequence of all natural numbers which are divisible by

3

a sequence of all natural numbers which are divisible by

5

a sequence of all natural numbers which after dividing by

5

give the remainder

3

2010000404

Level:

Which sequence is defined by the given graph?

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

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

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

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

Introduction to sequences

2000005806

2000005807

2000005809

2000005810

2000010308

2000010309

2000010310

2010000401

2010000403

2010000404

Events

Akce

Interests

Zajímavosti

About portal

O portálu