Determine the First Three Terms of the Sequence: 3n + 3

Question

What are the first three elements of the sequence described below?

3n+3 3n+3

Video Solution

Solution Steps

00:00 Find the first 3 terms
00:04 Substitute the desired term position in the sequence formula and solve
00:18 Always solve multiplication and division before addition and subtraction
00:23 This is the first term in the sequence
00:26 We'll use the same method to find the next terms
00:32 Substitute the desired term position in the sequence formula and solve
00:36 Always solve multiplication and division before addition and subtraction
00:40 This is the second term in the sequence
00:46 Substitute the desired term position in the sequence formula and solve
00:51 Always solve multiplication and division before addition and subtraction
01:01 And this is the solution to the question

Step-by-Step Solution

We need to find the first three elements of a sequence defined by the equation 3n+33n + 3. Here, nn is a positive integer. We start by using n=1,2,3n = 1, 2, 3 to find the corresponding sequence elements.

  • For n=1n = 1:

  • Calculate 3(1)+3=3+3=63(1) + 3 = 3 + 3 = 6.

  • For n=2n = 2:

  • Calculate 3(2)+3=6+3=93(2) + 3 = 6 + 3 = 9.

  • For n=3n = 3:

  • Calculate 3(3)+3=9+3=123(3) + 3 = 9 + 3 = 12.

Therefore, the first three elements of the sequence are 6, 9, and 12.

The correct choice among the given options that matches our calculated result is :

6, 9, 12

Answer

6, 9, 12