Answered

Which answer describes the type of sequence?


200, 40, 8, 1.6, ...


geometric


neither arithmetic nor geometric


arithmetic

Verified Answer :

Answer:

it is geometric

Step-by-step explanation


We have been given with the series


200,40,8,1.6


Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d


d=a_2-a_1


d=40-200=-160   herea_2=40,a_1=200


d=8-40=-32          herea_2=8,a_1=40


We can see the difference is not same


Hence, the given sequence is not arithmetic sequence.


Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r


r=\frac{a_2}{a_1}


r=\frac{40}{200}=\frac{1}{5}   herea_2=40,a_1=200


r=\frac{8}{40}=\frac{1}{5}          herea_2=8,a_1=40


r=\frac{1.6}{8}=\frac{1}{5}             herea_2=1.6,a_1=8


We can see the ratio is  same.


Hence, given sequence is geometric


Therefore, Option 1 is correct given sequence is geometric.

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