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

Determine the 6th and 20th terms of the arithmetic sequence above. (2 points)
6th term is
20th term is

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the common difference of the arithmetic sequence 50, 46, 42, 38,..., we subtract one term from the next.

46 - 50 = -4
42 - 46 = -4
38 - 42 = -4

The common difference is -4.

To find the 6th term:
a6 = a1 + (n-1)d
a6 = 50 + (6-1)(-4)
a6 = 50 + 5(-4)
a6 = 50 - 20
a6 = 30

The 6th term is 30.

To find the 20th term:
a20 = a1 + (n-1)d
a20 = 50 + (20-1)(-4)
a20 = 50 + 19(-4)
a20 = 50 - 76
a20 = -26

The 20th term is -26.