What is the common difference of the arithmetic sequence 50, 46, 42, 38,....?
(1 point)
Responses
A. -4
B. -3
C. 2
D. 4
B. -4
Determine the 6th and 20th terms of the arithmetic sequence above.
To find the nth term of an arithmetic sequence, you can use the formula:
An = A1 + (n-1)d
where:
An is the nth term,
A1 is the first term,
n is the term number, and
d is the common difference.
For the arithmetic sequence 50, 46, 42, 38,...., the common difference is -4.
To find the 6th term:
A6 = 50 + (6-1)(-4)
A6 = 50 + 5(-4)
A6 = 50 - 20
A6 = 30
So, the 6th term is 30.
To find the 20th term:
A20 = 50 + (20-1)(-4)
A20 = 50 + 19(-4)
A20 = 50 - 76
A20 = -26
So, the 20th term is -26.