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?

00:00 Find the 6th term in the sequence

00:04 Location of the desired term according to the given data

00:08 Substitute the appropriate position in the formula and solve to find the term

00:15 Always solve the exponent first

00:22 And this is the solution to the 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 $30$ .

$30$