Answer:
B. 199
Step-by-step explanation:
We are given an Arithmetic sequence : 3, 7, 11, 15, ...
We are supposed to find the 50th term .
So, first consider the formula of nth term in Arithmetic mean:
[tex]a_{n} = a+(n-1)*d[/tex]
where
a is first term of sequence
n is term position
d is common difference
[tex]a_{n}[/tex]= the term you are supposed to find
Now,
a = 3 ( first term )
n = 50 th term ( given )
d = 7-3 = 11-7 = 4(common difference
Substitute these value in the formula given above
⇒[tex]a_{50} = 3+(50-1)*4[/tex]
⇒[tex]a_{50} = 3+(49)*4[/tex]
⇒[tex]a_{50} = 3+196[/tex]
⇒[tex]a_{50} = 199[/tex]
Hence ,The 50th term of given arithmetic sequence is 199
So, OPTION B is correct .
