Arithmetic Sequences and Their Properties

Arithmetic Sequences and Their Properties

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial covers arithmetic sequences and series, focusing on sequences with a common difference. It explains how to use a specific formula to find terms in these sequences, providing examples and practice problems. The video also demonstrates solving simultaneous equations to find unknown terms and differences in sequences.

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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is an arithmetic sequence?

A sequence with a common ratio

A sequence with a common difference

A sequence with no pattern

A sequence with a variable difference

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula for an arithmetic sequence, what does 'a' represent?

The last term

The first term

The number of terms

The common difference

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the common difference in the sequence where the first term is 2 and it increases by 3?

1

3

5

2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the first term is 9 and the common difference is -2, what is the 10th term?

0

-18

-9

9

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the 5th term of a sequence with a first term of 3 and a common difference of 5?

3 * 5

3 + 5

3 + 4 * 5

3 + 5 * 5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of using simultaneous equations in arithmetic sequences?

To find the last term

To find the common ratio

To find the first term and common difference

To find the number of terms

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with u3 = 10 and u6 = 31, what is the common difference?

2

3

7

5

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a sequence starts at 8 and decreases by 3, what is the 5th term?

8

5

-4

2

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given u2 = 20 and u6 = 44, what is the first term?

44

20

14

6