Calculate the Sixth Element of the Sequence: n² - n

Question

Below is the rule for a sequence in terms of $n$ :

$n^2-n$

What is the value of the 6th element of the series?

00:07 Let's find the 6th term in the sequence.

00:11 We're looking for the position of the term based on the data we have.

00:15 Now, substitute this position into the formula. Then solve to discover the term.

00:22 Always remember to solve the exponent first. It makes things easier!

00:29 And there you have it! That's the solution to our problem.

To solve this problem, we need to find the 6th term of the sequence defined by $n^2 - n$ .

Step 1: Identify the term we need to determine. The problem asks for the 6th element, so $n = 6$ .

Step 2: Use the sequence's formula $a_n = n^2 - n$ .

Step 3: Substitute $n = 6$ into the formula:

Step 4: Calculate $6^2$ :

Step 5: Subtract 6 from 36:

Therefore, the value of the 6th element of the sequence is $30$ .

Thus, the correct answer is $30$ .

$30$