Question

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



(1 point)
Responses

4
4

-4
-4

2
2

-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

ecplanation

Answer 2

6th term is 30
20th term is -3

Answer 3

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

nth term = a + (n-1)d

where:
nth term = the term number you want to find (in this case, 6th and 20th terms)
a = the first term of the sequence (which is 50 in this case)
d = the common difference between each term (which is -4 in this case)
n = the term number we want to find (6th and 20th)

For the 6th term:
6th term = 50 + (6 - 1)(-4)
6th term = 50 + 5(-4)
6th term = 50 - 20
6th term = 30

So, the 6th term of the sequence is 30.

For the 20th term:
20th term = 50 + (20 - 1)(-4)
20th term = 50 + 19(-4)
20th term = 50 - 76
20th term = -26

So, the 20th term of the sequence is -26.