Finding Zero in the Sequence: Solve for n in 3n - 3

Question

3n3 3n-3

Is the number 0 a term in the sequence above?

Video Solution

Solution Steps

00:00 Is the number 0 a member of the sequence?
00:03 We'll substitute the member into the sequence formula and solve for N
00:07 If the solution for N is positive and whole, then this is the member's position
00:12 Let's isolate N
00:25 And this is the solution to the question

Step-by-Step Solution

To determine if the number 0 is part of the sequence given by 3n3 3n - 3 , we will follow these steps:

  • Step 1: Set the sequence expression equal to 0, as follows: 3n3=0 3n - 3 = 0 .
  • Step 2: Solve for n n by adding 3 to both sides: 3n=3 3n = 3 .
  • Step 3: Divide both sides by 3 to isolate n n : n=1 n = 1 .

Since n=1 n = 1 is a valid integer, it indicates that the term 0 is indeed part of the sequence. Specifically, 0 is the value of the sequence when n=1 n = 1 .

Therefore, the number 0 is the first term in the sequence when n=1 n = 1 . The correct answer is:

Yes, it's the first term.

The correct choice based on the options given is choice 1.

Answer

Yes, it's the first term.