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The pattern below follows the rule: "Starting with a value of 4, every consecutive row has a value that is 2 less than twice the value of the previous row."

\begin{tabular}{|l|l|}
\hline
& \multicolumn{1}{|c|}{Value} \\
\hline
Row 1 & 4 \\
\hline
Row 2 & 6 \\
\hline
Row 3 & 10 \\
\hline
\end{tabular}

What is the value for the 5th row?

A. 36
B. 20
C. 66
D. 34

Sagot :

GinnyAnswer
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.
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