Determine whether the sequence is geometric. If so, find the common ratio. 1024 , 256 , 64 , 16 , … 1024,256,64,16, \ldots 1024 , 256 , 64 , 16 , … A) -4B) 4C) − 1 4 -\frac{1}{4} − 4 1 D) 1 4 \frac{1}{4} 4 1 E) not geometric

Question

Determine whether the sequence is geometric. If so, find the common ratio.   1024 , 256 , 64 , 16 , … 1024,256,64,16, \ldots 1024 , 256 , 64 , 16 , … A) -4B) 4C)    − 1 4 -\frac{1}{4} − 4 1 ​ D)    1 4 \frac{1}{4} 4 1 ​ E) not geometric

Andrew Stuhl · Accepted Answer

Final Answer : D, Explanation :   The sequence is geometric with a common ratio of   1 4 \frac{1}{4} 4 1 ​  . This is determined by dividing any term in the sequence by its preceding term, for example,   256 ÷ 1024 = 1 4 256 \div 1024 = \frac{1}{4} 256 ÷ 1024 = 4 1 ​   or   64 ÷ 256 = 1 4 64 \div 256 = \frac{1}{4} 64 ÷ 256 = 4 1 ​  .

Determine whether the sequence is geometric. If so, find the common ratio. $\ldots$

A) -4
B) 4
C) $−14-\frac{1}{4}$
D) $14\frac{1}{4}$
E) not geometric

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Determine whether the sequence is geometric. If so, find the common ratio. 1024,256,64,16,…1024,256,64,16, \ldots1024,256,64,16,… A) -4B) 4C) −14-\frac{1}{4}−41​ D) 14\frac{1}{4}41​ E) not geometric

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Determine whether the sequence is geometric. If so, find the common ratio. $\ldots$

A) -4
B) 4
C) $−14-\frac{1}{4}$
D) $14\frac{1}{4}$
E) not geometric