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

Question

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?

Video Solution

Solution Steps

00:09 Is the number 9 in the sequence? If yes, what position is it in?

00:14 Let's put 9 into the sequence formula and solve it together!

00:19 If our answer for N is a positive whole number, then 9 is in the sequence at spot N.

00:25 Now, let's go step-by-step to find N. Ready? Here we go!

00:34 We got a solution for N that is positive, but it's not a whole number.

00:38 So, 9 is not a member of this sequence.

00:42 And that's how we answer this question! Great job!

Step-by-Step Solution

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.

Answer

Related Subjects

Recurrence Relations Sequences