Question

State whether each sentence is true or false. If false replace the underlined word or number to make a true sentence.

The difference between successive terms of an arithmetic sequence is the constant of variation.

Short answer

The provided sentence is true.

Step-by-step solution

Step 1. Analyze the provided sentence.

The provided sentence represents that the same number represents the gap among the successive terms associated with the sequence which falls in the category of arithmetic sequence.

Step 2. Determine the provided equation is true or false.

The provided sentence falls in the category of true because thegap among the successive terms associated with the sequence which falls in the category of arithmetic sequence is the same.

For example,

Consider a sequence represented by 2, 5, 8, 11, … the number that represents the gap among the successive terms is represented by 3. So, the considered sequence falls in the category of arithmetic sequence.

Step 3. Write the conclusion.

The provided sentence is true so there is no requirement to change the underlined word.