2. 3, 6, 12, 24, 48, 96, ….
Circle one: Arithmetic or Geometric
Fill in the value of d = _____ or r = ______
Identify the value of the 5th term: _________
Question
Question
2. 3, 6, 12, 24, 48, 96, ….
Circle one: Arithmetic or Geometric
Fill in the value of d = _____ or r = ______
Identify the value of the 5th term: _________
Answer:
geometric with r = 2
Step-by-step explanation:
An arithmetic sequence has a common difference between consecutive terms
6 – 3 = 3
12 – 6 = 6
24 – 12 = 12
48 – 24 = 24
96 – 48 = 48
As we see the differences are not common, so not arithmetic
A geometric sequence has a common ratio between consecutive terms.
6 ÷ 3 = 2
12 ÷ 6 = 2
24 ÷ 12 = 2
48 ÷ 24 = 2
96 ÷ 48 = 2
There is a common ratio of 2, so sequence is geometric
with 5th term = 48