Given:
The arithmetic sequence is represented in the table.
The general form of the arithmetic sequence is given by
[tex]a_n=a_1+(n-1)d[/tex]
We need to determine the value of the missing term.
First term:
From the table, we need to determine the first term of the arithmetic sequence.
From the table, the value of the first term is 3.
Thus, [tex]a_1=3[/tex]
Hence, the first term is 3.
Common difference:
From the table, we can determine the common difference of the arithmetic sequence.
Thus, we have;
12 - 3 = 9
Hence, the common difference is [tex]d=9[/tex]
Value of the missing term:
The value of the term 45 can be determined by substituting n = 45 in the general form [tex]a_n=a_1+(n-1)d[/tex]
Thus, we have;
[tex]a_{45}=3+(45-1)(9)[/tex]
[tex]a_{45}=3+(44)(9)[/tex]
[tex]a_{45}=3+396[/tex]
[tex]a_{45}=399[/tex]
Hence, the value of the term 45 is 399.
Thus, the value of the missing term is 399.
