Is 10 a Term in the Sequence Defined by n-4?

Question

A sequence has a rule of $n-4$ .

Is the number 10 a term in the sequence?

00:00 Is the number 10 a member of the sequence?

00:03 Let's substitute the member in the sequence formula and solve for N

00:07 If the solution for N is positive and whole, then this is the position of the member

00:12 Let's isolate N

00:22 And this is the solution to the question

To determine if 10 is a term in the given sequence $a_n = n-4$ , we need to solve the equation for $n$ .

First, write down the equation based on the rule of the sequence:

We want to see if $a_n = 10$ , so set the equation equal to 10:

Next, solve for $n$ by isolating it on one side of the equation. Add 4 to both sides:

This calculation shows that the 14th term in the sequence equals 10.

Therefore, the number 10 is indeed a term in the sequence, specifically the 14th term.

Yes, it is the 14th term.

Yes, it is the 14th term.