Find Position of 9 in Sequence 2n+2: Term Identification Problem

Given a formula with a constant property that depends on$n$:

$2n+2$

Is the number 9 Is it part of the series? If so, what element is it in the series?

To determine if 9 is part of the sequence given by the formula $2n + 2$, we need to solve the equation for $n$:

$2n + 2 = 9$

Subtract 2 from both sides:

$2n = 7$

Divide both sides by 2:

$n = \frac{7}{2}$

The solution $n = \frac{7}{2}$ is not an integer, meaning there is no integer $n$ such that $2n + 2 = 9$. Therefore, the number 9 is not part of the sequence.

In conclusion, the number 9 does not belong in the sequence defined by $2n + 2$, so the answer is No.