Write the explicit formula for the following geometric sequence: -0.1, 0.03, -0.009, 0.0027, -0.00081, ...

Nico Patterson

Nico Patterson

Answered question

2022-11-04

Write the explicit formula for the following geometric sequence: -0.1, 0.03, -0.009, 0.0027, -0.00081, ...

Answer & Explanation

andytronicoh4t

andytronicoh4t

Beginner2022-11-05Added 18 answers

In the given geometric series
{ - 0.1 , 0.03 , - 0.009 , 0.0027 , - 0.00081 , ... ... } ,
the first term is −0.1 and common ratio is 0.03 - 0.1 = - 0.009 0.03 = 0.0027 - 0.009 = - 0.00081 0.0027 = - 0.3
As the n t h term of a geometric series whose first term is a and common ratio is r is a × r n - 1
Hence n t h term of given geometric series is
( - 0.1 ) × ( - 0.3 ) n - 1

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