Question

Hey please help me solve my assignment I was absent last meeting please. I would appreciate you guys helping me thanks 🥺

Instruction: Write geometric sequence if there is a common difference and if not, write none.

1. 400, 200, 100, 50, . . . Answer: ______________Common Ratio: __________


2. 15, 30, 45, 60, . . . Answer: ______________Common Ratio: __________


3. 1, 2, 4, 8, . . . Answer: ______________Common Ratio: __________

Answer 1

#1. r = 1/2
#2. arithmetic sequence, d=15
#3. r = 2

You can find the common ration just by dividing any term by the one before it.
If you do that with two different terms and the quotients are the same, then you're home free. (Assuming they haven't slipped in any ringers)

Answer 2

1. Differences:
400-200 = 200.
200-100 = 100.
100-50 = 50.
No common difference.
Common ratios: 400/200 = 200/100 = 100/50 = 2/1.

2. Common differences: 30-15 = 45-30 = 60-45 = 15.
Common ratios: 30/15 = 60/30 = 2/1.

3. Common difference: None.
Common ratios: = 2/1 = 8/4.