Question

What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ... ?

A. 151
B. 199
C. 203
D. 53

Answer 1

The answer is B. 199

Explanation:

Answer 2

B. 199

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:

`a_(n) = a+(n-1)*d`

where

a is first term of sequence

n is term position

d is common difference

`a_(n)`= 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

⇒
`a_(50) = 3+(50-1)*4`

⇒
`a_(50) = 3+(49)*4`

⇒
`a_(50) = 3+196`

⇒
`a_(50) = 199`

Hence ,The 50th term of given arithmetic sequence is 199

So, OPTION B is correct .