Math tutorial for writing the explicit formula of a sequence

The video tutorial explores how to derive a formula using different mathematical operations. Initially, multiplication and addition are tested but found insufficient. The process involves trial and error with various combinations, ultimately leading to the correct formula: 4n - 1. The tutorial emphasizes understanding the logic behind each step and encourages mental calculations to find solutions.

Why does multiplying by 3 not work for the sequence?

• It gives the correct result for all numbers.

• It gives the wrong result for the second number.

• It gives the wrong result for the third number.

• It gives the wrong result for the first number.

What is the issue with using the formula N + 2?

• It works for all numbers.

• It gives the wrong result for the first number.

• It gives the correct result for all numbers.

• It gives the wrong result for the second number.

What happens when you try the formula 2N + 1?

• It gives the correct result for all numbers.

• It gives the wrong result for the first number.

• It gives the wrong result for the second number.

• It gives the wrong result for the third number.

Which operation combination finally works for the sequence?

• Multiplying by 2 and adding 2

• Multiplying by 4 and subtracting 1

• Multiplying by 5 and subtracting 2

• Multiplying by 3 and adding 1

What is the final formula derived for the sequence?

• 3N + 1

• 2N + 2

• 4N - 1

• 5N - 2