Use the arithmetic sequence formula a_{n} = 5 + (n-1) * 2 to complete the missing values in the table.

Question

X
2
4
Y
_
_

Answer 1

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:

\[ \begin{array}{|c|c|} \hline X & Y \ \hline 2 & 7 \ 4 & 11 \ \hline \end{array} \]