Arithmetic Sequences and Terms

The video tutorial introduces arithmetical sequences, explaining that they are sequences where each term is obtained by adding a fixed number to the previous term. An example sequence is given, and the pattern of adding five is identified. The tutorial then derives a formula for finding the nth term in such sequences, using the first term and the common difference. Finally, an example calculation is provided to demonstrate how to find a specific term in an arithmetical sequence.

What is an arithmetical sequence?

• A sequence where each term is a multiple of the previous term.

• A sequence where each term is the sum of the previous two terms.

• A sequence where each term is obtained by adding a fixed number to the previous term.

• A sequence where each term is the square of the previous term.

In the sequence 3, 8, 13, 18, 23, what is the common difference?

• 5

• 10

• 8

• 3

How do you find the next term in an arithmetical sequence?

• Multiply the previous term by a fixed number.

• Add a fixed number to the previous term.

• Subtract a fixed number from the previous term.

• Divide the previous term by a fixed number.

What is the difference between consecutive terms in an arithmetical sequence?

• It is always zero.

• It is always one.

• It is a fixed number.

• It varies with each term.

What is the formula to find the nth term in an arithmetical sequence?

• A1 - (n - 1) * D

• A1 / n + D

• A1 * n + D

• A1 + (n - 1) * D

In the formula A1 + (n - 1) * D, what does A1 represent?

• The last term of the sequence

• The nth term of the sequence

• The common difference

• The first term of the sequence

In the formula A1 + (n - 1) * D, what does D represent?

• The first term of the sequence

• The sum of all terms

• The common difference

• The nth term of the sequence

If A1 = 3 and D = 2, what is the 6th term in the sequence?

• 11

• 13

• 15

• 17

What is the 4th term in the sequence where A1 = 3 and D = 5?

• 20

• 18

• 15

• 13

If the first term of an arithmetical sequence is 7 and the common difference is 3, what is the 5th term?

• 16

• 25

• 19

• 22