Part A

Question

What is the common difference of the arithmetic sequence 50, 46, 42, 38,....?



(1 point)
Responses

2
2

4
4

-4
-4

-3
-3
Question 2
Part B

Determine the 6th and 20th terms of the arithmetic sequence above.

(2 points)
6th term is

20th term is

Answer 1

Part A

The common difference of the arithmetic sequence 50, 46, 42, 38, .... is -4.

Part B

To find the 6th term, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

Substitute the values we have:

a_6 = 50 + (6-1)(-4)
a_6 = 50 + 5(-4)
a_6 = 50 - 20
a_6 = 30

Therefore, the 6th term is 30.

For the 20th term:

a_20 = 50 + (20-1)(-4)
a_20 = 50 + 19(-4)
a_20 = 50 - 76
a_20 = -26

Therefore, the 20th term is -26.