The sequence 1.6, 0.8, 0.4, 0.2, . . . is a geometric sequence
The sequence is given as:
1.6, 0.8, 0.4, 0.2, . . .
Calculate the common difference using;
d = T2 - T1 = T3 - T2 = T4 - T3
This gives
d = 0.8 - 1.6 = 0.4 - 0.8 = 0.2 - 0.4
Evaluate the difference
d = -0.8= -0.4= -0.2
The difference between successive terms are not the same.
This means that the sequence is not an arithmetic sequence
Calculate the common ratio using;
r = T2?T1 = T3/T2 = T4 /T3
This gives
r = 0.8/1.6 = 0.4/0.8 = 0.2/0.4
Evaluate the difference
r = 0.5= 0.5= 0.5
The ratio between successive terms are the same.
This means that the sequence is a geometric sequence
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