Is 10 a Term in the Sequence Defined by 4n+3?

To solve whether 10 is a term in the sequence defined by $4n + 3$, follow these steps:

• Step 1: Start with the equation for the sequence, $4n + 3 = 10$.
• Step 2: Subtract 3 from both sides to isolate the term with $n$. This gives $4n = 7$.
• Step 3: Divide both sides by 4 to solve for $n$. This results in $n = \frac{7}{4}$.

Since $n = \frac{7}{4}$, which is not an integer, it confirms that 10 is not a term in the sequence $4n + 3$. For a number to be a term in this sequence, $n$ must be an integer. Thus, 10 is not part of the sequence because it does not satisfy this condition.

Therefore, the number 10 is not in the sequence.

The correct answer choice is:

• Choice 4:

  No