Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get immediate and reliable solutions to your questions from a community of experienced professionals on our 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.
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.