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23-07-2021
Mathematics

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What is the 11th term of this geometric sequence?: 16384, 8192, 4096, 2048

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sadovnichenkoant sadovnichenkoant

23-07-2021

Answer:

16

Step-by-step explanation:

1) Find out r of the sequence. The first term(a1) is 16384, the second term (a2) is 8192.

8192=16384*r. r= 0.5

2) Use the rule that an=a1*r^(n-1)

a11=a1*r^10

a11= 16384*((0.5)^10)= 16384/ (2^10)=16.

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