Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.