How to determine the rule for a sequence

The video tutorial explains how to determine rules for sequences by exploring various operations such as addition, subtraction, multiplication, and division. It guides through the process of testing different operations to find a rule that fits all terms in a sequence. The tutorial concludes with identifying the correct rule and confirming the sequence type as finite.

What is the first step in determining a rule for a sequence?

• Directly write the rule

• Use squaring and cubing

• Label the terms and check for addition or subtraction

• Check for multiplication and division

Why was the initial rule of 'n + 2' not suitable for the sequence?

• It was too complex

• It only worked for the first term

• It worked for all terms

• It required division

What operation was considered after addition and subtraction failed?

• Exponentiation

• Cubing

• Multiplication and division

• Squaring

Which combination of operations successfully defined the sequence rule?

• Multiply by 3 and add 2

• Multiply by 4 and subtract 1

• Multiply by 2 and add 1

• Multiply by 5 and subtract 2

What type of sequence was determined at the end?

• Finite sequence

• Geometric sequence

• Arithmetic sequence

• Infinite sequence