What is the 50th term of the arithmetic sequence 3, 7, 11, 15, ? a. 151 b. 199 c. 203 d. 53

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:

where

a is first term of sequence

n is term position

d is common difference

= 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

⇒

⇒

⇒

⇒

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

So, OPTION B is correct .

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.