Answer:
[tex]\huge\boxed{\bf\:a_{n} = 185}[/tex]
Step-by-step explanation:
Consider the following sequence as an arithemetic progression (AP). Here, we need to find the 60th term of the given AP.
According to the AP,
- First term (a) = 8
- Common difference (d) = [tex]a_{n} - a_{n - 1} =[/tex] 8 - 5 = 3
- Number of terms (n) = 60
- Last term [tex](a_{n}) = \: ?[/tex]
Now, use the formula → [tex]\bf\: a_{n} = a + (n - 1) d[/tex] & substitute the values in it to find the value of '[tex]a_{n}[/tex]'.
[tex]a_{n} = a + (n - 1) d\\a_{n} = 8 + (60 - 1)3\\a_{n} = 8 + (59*3)\\a_{n} = 8 + 177\\\boxed{\bf\:a_{n} = 185}[/tex]
The value of '[tex]a_{n}[/tex]' in the given AP is 185.
[tex]\rule{150pt}{2pt}[/tex]
