Calculate 2(n+4): Finding the 9th Element in a Linear Sequence

Question

Below is the rule for a sequence written in terms of n n :

2(n+4) 2(n+4)

Work out the value of the 9th element in the sequence.

Video Solution

Solution Steps

00:10 Let's find the ninth element in the sequence.
00:14 First, identify the position of this element based on the data.
00:19 Then, plug in the appropriate numbers, and solve the equation to find the element.
00:28 Remember, always solve what's inside the parentheses first.
00:37 And there you have it, that's the solution!

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Understand the sequence rule and identify the variable n n .
  • Step 2: Substitute the value of n n into the sequence formula.
  • Step 3: Calculate the value of the expression obtained.

Let's work through them:
Step 1: The sequence is defined by the rule 2(n+4) 2(n+4) . Here, n n is the position in the sequence since we are asked for the 9th element, n=9 n = 9 .
Step 2: Substitute n=9 n = 9 into the expression, which gives us 2(9+4) 2(9+4) .
Step 3: Calculate 9+4 9 + 4 to get 13. Then multiply by 2 to obtain 2×13=26 2 \times 13 = 26 .

Thus, the value of the 9th element in the sequence is 26 26 .

Answer

26 26