Introduction to sequences

2010000707

Level:

We are given a sequence

{(a_{n})}_{n = 1}^{6}

defined by the following graph. Find the recursive formula of such sequence.

a_{1} = 2, a_{n + 1} = - a_{n}, n \in {1; 2; 3; 4; 5}

a_{1} = - 2, a_{n + 1} = - a_{n}, n \in {1; 2; 3; 4; 5}

a_{1} = - 2, a_{n + 1} = - 2 a_{n}, n \in {1; 2; 3; 4; 5}

a_{1} = 2, a_{n + 1} = a_{n}, n \in {1; 2; 3; 4; 5}

2010000706

Level:

We are given a sequence

{(a_{n})}_{n = 1}^{6}

defined by the following graph. Find the recursive formula of such sequence.

a_{1} = - 2, a_{n + 1} = - a_{n}, n \in {1; 2; 3; 4; 5}

a_{1} = 2, a_{n + 1} = - a_{n}, n \in {1; 2; 3; 4; 5}

a_{1} = - 2, a_{n + 1} = - 2 a_{n}, n \in {1; 2; 3; 4; 5}

a_{1} = 2, a_{n + 1} = a_{n}, n \in {1; 2; 3; 4; 5}

2010000705

Level:

The

n

th term of a sequence is given by

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

. Which term of this sequence is equal to

5

the eighth term

the third term

the ninth term

the fifth term

2010000704

Level:

The

n

th term of a sequence is given by

a_{n} = \frac{n^{2} - 1}{n + 5}

. Which term of this sequence is equal to

4

the seventh term

the third term

the twenty-first term

the fourth term

2010000703

Level:

Consider the sequence

2 a_{n} = a_{n + 1} - a_{n - 1}

with

a_{3} = 2

and

a_{4} = 5

. Find

a_{2} - a_{1}

1

4

- 20

- 25

2010000702

Level:

We are given a sequence

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

defined recursively by:

a_{1} = - 1, a_{2} = 0

and

a_{n + 2} = a_{n} - a_{n + 1} - d

, where

n \in N

. Find the value of an unknown constant

d \in R

and of the term

a_{5}

a_{3} = - 4

d = 3, a_{5} = - 8

d = 5, a_{5} = - 10

d = 3, a_{5} = 1

d = 5, a_{5} = - 9

2010000701

Level:

We are given the sequence

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

. This sequence satisfies

a_{7} - a_{2} = - 10

. Use this information to find

a

a = - 2

a = 2

a = - 1

a = 1

2010000406

Level:

We are given a sequence

{(a_{n})}_{n = 1}^{5}

defined by the following graph. Find the formula of the

n

th term of this sequence.

a_{n} = 2 n - 3, n \in {1, 2, 3, 4, 5}

a_{n} = 2 n, n \in {1, 2, 3, 4, 5}

a_{n} = 3 - 2 n, n \in {1, 2, 3, 4, 5}

a_{n} = 2 n - 1, n \in {1, 2, 3, 4, 5}

2010000405

Level:

We are given a sequence

{(a_{n})}_{n = 1}^{5}

defined by the following graph. Find the formula of the

n

th term of this sequence.

a_{n} = 3 - 2 n, n \in {1, 2, 3, 4, 5}

a_{n} = 2 n, n \in {1, 2, 3, 4, 5}

a_{n} = 1 - 2 n, n \in {1, 2, 3, 4, 5}

a_{n} = 2 n - 3, n \in {1, 2, 3, 4, 5}

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

2010000707

2010000706

2010000705

2010000704

2010000703

2010000702

2010000701

2010000406

2010000405

2010000404

Events

Akce

Interests

Zajímavosti

About portal

O portálu