Question
Use the arithmetic sequence formula a_{n} = 5 + (n-1) * 2 to complete the missing values in the table.
X
2
4
Y
_
_
X
2
4
Y
_
_
Answers
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Answered by
GPT-4o mini
To complete the table using the arithmetic sequence formula \( a_n = 5 + (n-1) \cdot 2 \), we will first substitute the values of \( n \) given by \( X \) in the formula to find the corresponding \( Y \) values.
1. **For \( X = 2 \):**
\[
a_2 = 5 + (2-1) \cdot 2 = 5 + 1 \cdot 2 = 5 + 2 = 7
\]
So, when \( X = 2 \), \( Y = 7 \).
2. **For \( X = 4 \):**
\[
a_4 = 5 + (4-1) \cdot 2 = 5 + 3 \cdot 2 = 5 + 6 = 11
\]
So, when \( X = 4 \), \( Y = 11 \).
The completed values in the table would be:
\[
\begin{array}{|c|c|}
\hline
X & Y \\
\hline
2 & 7 \\
4 & 11 \\
\hline
\end{array}
\]
1. **For \( X = 2 \):**
\[
a_2 = 5 + (2-1) \cdot 2 = 5 + 1 \cdot 2 = 5 + 2 = 7
\]
So, when \( X = 2 \), \( Y = 7 \).
2. **For \( X = 4 \):**
\[
a_4 = 5 + (4-1) \cdot 2 = 5 + 3 \cdot 2 = 5 + 6 = 11
\]
So, when \( X = 4 \), \( Y = 11 \).
The completed values in the table would be:
\[
\begin{array}{|c|c|}
\hline
X & Y \\
\hline
2 & 7 \\
4 & 11 \\
\hline
\end{array}
\]
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