Consider the sequence: 1536, 768, 384, 192, 96, ... Determine the 11th term of the sequence. Group of answer choices
2 answers:
Answer:
1.5
Step-by-step explanation:
The sequence given is a geometric progression (G.P). For a G.P where the first term is a, the common ratio (which is the ratio between successive terms), the nth term of the GP is given as
Tn = ar^n-1
From the sequence given
a = 1536
r = 768/1536
= 1/2
= 0.5
Hence the 11th term of the sequence
T11 = 1536 (1/2)^11-1
= 1536 (1/2)^10
= 1536/1024
= 1.5
Answer:
The answer is 1.5
Step-by-step explanation:
You have to find the pattern and work your way down to the 11th term.
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