How to determine if a sequence is arithmetic or not

The video tutorial explains how to determine if a sequence is arithmetic by checking if the difference between consecutive terms is constant. It demonstrates the calculation of differences and verifies the sequence as arithmetic. The lesson concludes with an exercise for further practice.

What is the defining characteristic of an arithmetic sequence?

• The sum of all terms is constant.

• The difference between consecutive terms is constant.

• The product of all terms is constant.

• The ratio between consecutive terms is constant.

In the example provided, what is the common difference between the terms?

• 5

• 3

• -5

• -3

How do you verify if a sequence is arithmetic?

• Check if the sum of terms is the same.

• Check if the difference between terms is constant.

• Check if the product of terms is the same.

• Check if the ratio between terms is constant.

What conclusion can be drawn if the difference between terms is constant?

• The sequence is exponential.

• The sequence is geometric.

• The sequence is arithmetic.

• The sequence is neither arithmetic nor geometric.

What task is given to the audience at the end of the video?

• Find the product of sequences from 1 to 100.

• Determine if sequences from 1 to 100 are arithmetic.

• Calculate the sum of sequences from 1 to 100.

• Determine if sequences from 1 to 100 are geometric.