How to find the common difference between terms of a sequence

The video tutorial explains how to determine the common difference in sequences, especially when dealing with negative numbers, fractions, or decimals. It outlines the rules for calculating the common difference and provides a step-by-step example. The tutorial also includes a verification process to ensure accuracy and corrects a common mistake made by students. The lesson concludes with a summary of the key points discussed.

What is the primary challenge when determining the common difference in sequences with negative numbers or decimals?

• They are always zero.

• They can be difficult to identify by sight.

• They are always negative.

• They are always positive.

In the example provided, what is the correct common difference between the terms -40 and -29?

• 9

• -9

• 11

• -11

Why is it important to verify the common difference with multiple terms in a sequence?

• To identify the first term.

• To determine the sequence length.

• To find the largest term.

• To ensure the sequence is arithmetic.

What mistake was corrected in the calculation of the common difference?

• Using division instead of multiplication.

• Using multiplication instead of division.

• Using subtraction instead of addition.

• Using addition instead of subtraction.

What is the result when adding the correct common difference to -29 in the example?

• -7

• 4

• -18

• -40