Let's analyze and follow the rule given in the problem to determine the value for the 5th row.
1. Starting Value:
- The first row starts with a value of 3.
2. Rule Applied:
- Each consecutive row has a value that is 2 less than twice the value of the previous row.
Let's write out the calculations step-by-step:
- Row 1: [tex]\( 3 \)[/tex] (Given starting value)
- Row 2:
- Value = [tex]\( 2 \times \text{Row 1 value} - 2 \)[/tex]
- Value = [tex]\( 2 \times 3 - 2 = 6 - 2 = 4 \)[/tex]
- Row 3:
- Value = [tex]\( 2 \times \text{Row 2 value} - 2 \)[/tex]
- Value = [tex]\( 2 \times 4 - 2 = 8 - 2 = 6 \)[/tex]
- Row 4:
- Value = [tex]\( 2 \times \text{Row 3 value} - 2 \)[/tex]
- Value = [tex]\( 2 \times 6 - 2 = 12 - 2 = 10 \)[/tex]
- Row 5:
- Value = [tex]\( 2 \times \text{Row 4 value} - 2 \)[/tex]
- Value = [tex]\( 2 \times 10 - 2 = 20 - 2 = 18 \)[/tex]
Based on these calculations:
- The value for Row 5 is [tex]\( 18 \)[/tex].
Therefore, the correct answer is:
C. [tex]\( 18 \)[/tex]
