Using the Formula 3n+5: Discover the 3rd Term

Question

3n+5 3n+5

What is the third term in the sequence above?

Video Solution

Solution Steps

00:00 Find member 3
00:05 Let's substitute the appropriate member's position in the formula and solve
00:18 Always solve multiplication and division before addition and subtraction
00:26 And this is the solution to the question

Step-by-Step Solution

To find the third term in the sequence defined by 3n+5 3n + 5 , we follow these steps:

  • Step 1: Identify the term number we are interested in. We need the third term, so set n=3 n = 3 .
  • Step 2: Use the sequence formula an=3n+5 a_n = 3n + 5 .
  • Step 3: Substitute n=3 n = 3 into the formula:

a3=3(3)+5 a_3 = 3(3) + 5

Step 4: Perform the arithmetic calculations:

3(3)=9 3(3) = 9
Adding 5 gives 9+5=14 9 + 5 = 14 .

Therefore, the third term in the sequence is 14 14 .

Answer

14