Find the 75th term of the arithmetic sequence -17, -13, -9

The 75th term of the arithmetic sequence -17, -13, -9.... is:

Step-by-step explanation:

Given the sequence

An arithmetic sequence has a constant difference 'd' and is defined by  

computing the differences of all the adjacent terms

The difference between all the adjacent terms is the same and equal to

The first element of the sequence is:

now substitute and in the nth term of the sequence

Now, substitute n = 75 in the sequence to determine the 75th sequence

Therefore,  the 75th term of the arithmetic sequence -17, -13, -9.... is:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.