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What is the 10th term of the geometric sequence 400, 200, 100...?

User NStal
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1 Answer

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ANSWER


a_ {10} = (25)/(32)

Step-by-step explanation

The given geometric sequence is

400, 200, 100...

The first term is


a_1=400

The common ratio is


r = (200)/(400) = (1)/(2)

The nth term is


a_n=a_1( {r}^(n - 1) )

We substitute the known values to get;


a_n=400( (1)/(2) )^(n - 1)


a_ {10} =400( (1)/(2) )^(10 - 1)


a_ {10} =400( (1)/(2) )^(9)


a_ {10} = (25)/(32)

User Zje
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