To solve this question, let's follow the given rule step by step starting from the known values up to the fifth row.
### Given:
- Row 1: 4
- Row 2: 6
- Row 3: 10
### Rule:
Every consecutive row has a value that is 2 less than twice the value of the previous row.
### Step-by-Step Calculation:
1. Calculate Row 4:
- We use the value from Row 3 (10)
- According to the rule:
[tex]\[ \text{Row 4} = 2 \times \text{Row 3} - 2 \][/tex]
[tex]\[ \text{Row 4} = 2 \times 10 - 2 \][/tex]
[tex]\[ \text{Row 4} = 20 - 2 \][/tex]
[tex]\[ \text{Row 4} = 18 \][/tex]
2. Calculate Row 5:
- We use the value from Row 4 (18)
- According to the rule:
[tex]\[ \text{Row 5} = 2 \times \text{Row 4} - 2 \][/tex]
[tex]\[ \text{Row 5} = 2 \times 18 - 2 \][/tex]
[tex]\[ \text{Row 5} = 36 - 2 \][/tex]
[tex]\[ \text{Row 5} = 34 \][/tex]
So, the value for the 5th row is 34.
### Conclusion:
- The correct answer is D. 34.
