## Consider the sequence: 1536, 768, 384, 192, 96, … Determine the 11th term of the sequence. Group of answer choices 1.5

Question

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## 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.