Gr12 Mathematics: Ch 1.1 Arithmetic Sequences

Play an AI-generated podcast conversation about this lesson

What is the formula to find the nth term of an arithmetic sequence?

Tn = a + (n - 1)d (correct)

Tn = a × (n - 1)d

Tn = a - (n - 1)d

Tn = a / (n - 1)d

What is the common difference of an arithmetic sequence?

The constant value added to each term to get the next term (correct)

The difference between the first and last term

The sum of all terms in the sequence

The average of the first and last term

What is the arithmetic mean between two numbers?

The average of the two numbers (correct)

The sum of the two numbers

The product of the two numbers

The difference between the two numbers

What is the graphical representation of an arithmetic sequence?

A straight line Signup and view all the answers

How do you test if a sequence is arithmetic?

By checking if the difference between consecutive terms is constant Signup and view all the answers

What happens to an arithmetic sequence when the common difference is positive?

The sequence increases Signup and view all the answers

What is the first term of an arithmetic sequence?

T1 = a Signup and view all the answers

How do you find the number of terms in an arithmetic sequence?

By setting the nth term equal to a specific value and solving for n Signup and view all the answers

What is the primary characteristic of an arithmetic sequence?

Each consecutive term is calculated by adding a constant value. Signup and view all the answers

What is the value of the second term in an arithmetic sequence if the first term is 5 and the common difference is 2?

7 Signup and view all the answers

What is the formula to find the nth term of an arithmetic sequence, given the first term a and common difference d?

Tn = a + (n - 1)d Signup and view all the answers

What can be inferred about an arithmetic sequence if the common difference is negative?

The sequence decreases. Signup and view all the answers

What is the purpose of finding the differences between consecutive terms in an arithmetic sequence?

To test if the sequence is arithmetic. Signup and view all the answers

What is the relationship between the terms of an arithmetic sequence when plotted on a graph?

They form a straight line. Signup and view all the answers

How do you find the number of terms in an arithmetic sequence, given the nth term?

Set the nth term equal to a specific value and solve for n. Signup and view all the answers

What is true about the terms of an arithmetic sequence?

They form a linear pattern. Signup and view all the answers

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the value of the fifth term?

19 Signup and view all the answers

Which of the following is NOT a characteristic of an arithmetic sequence?

The terms of the sequence form a quadratic pattern when plotted on a graph Signup and view all the answers

What is the value of the common difference if the first term is 2 and the third term is 8?

4 Signup and view all the answers

If the fourth term of an arithmetic sequence is 11 and the common difference is 3, what is the value of the first term?

5 Signup and view all the answers

What is the value of the arithmetic mean between 5 and 11?

8 Signup and view all the answers

If an arithmetic sequence has a first term of 10 and a common difference of -2, what is the value of the tenth term?

-12 Signup and view all the answers

Which of the following is TRUE about an arithmetic sequence?

The sequence can either increase or decrease Signup and view all the answers

If the second term of an arithmetic sequence is 7 and the common difference is 3, what is the value of the first term?