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

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:

• $a_n = n-4$

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

• $n-4 = 10$

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

• $n = 10 + 4$
• $n = 14$

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.