Answer:
278
Step-by-step explanation:
Given
[tex]Sequence:= 8, 17, 26[/tex]
Required
The 31st term
The given sequence is an arithmetic sequence because
[tex]d = 17 -8= 26 -17 =9[/tex]
The 31st term, is then calculated as:
[tex]T_n = a + (n - 1)d[/tex]
Where
[tex]a = 8[/tex] --- The first term
[tex]T_{31} = 8 + (31 - 1)*9[/tex]
[tex]T_{31} = 8 + 30*9[/tex]
[tex]T_{31} = 8 + 270[/tex]
[tex]T_{31} = 278[/tex]
