What is arithmetic sequences and how do we determine them

The video tutorial introduces arithmetic and geometric sequences, focusing on arithmetic sequences. It explains the concept of a common difference, which is the consistent difference between consecutive terms in an arithmetic sequence. The tutorial demonstrates how to identify arithmetic sequences by calculating the common difference and provides examples to illustrate the process.

What defines an arithmetic sequence?

• A sequence with a common ratio

• A sequence with a common difference

• A sequence with decreasing terms

• A sequence with increasing terms

How can you determine if a sequence is arithmetic?

• By checking if the sum of terms is constant

• By checking if the product of terms is constant

• By checking if the difference between consecutive terms is constant

• By checking if the terms are in alphabetical order

What is the common difference in the sequence: 5, 3, 1, -1?

• 1

• -1

• 2

• -2

If the first term of an arithmetic sequence is 10 and the common difference is 3, what is the second term?

• 13

• 15

• 12

• 14

Which of the following sequences is arithmetic?

• 1, 1, 2, 3

• 2, 4, 8, 16

• 3, 6, 9, 12

• 5, 10, 20, 40