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Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are given.

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Find the fifth term and the nth term of the geometric sequence whose initial term a1 and common ratio r are given.

asked Feb 16, 2015 in PRECALCULUS by anonymous
reshown Feb 16, 2015 by goushi

1 Answer

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Step 1 :

The n th term of a geometric sequence :

The n th term of a geometric sequence is image.

Where image is the first term and r  is the common ratio.

Step 2 :

The initial term is and common ratio is .

The n th term of a geometric sequence is image

Substitute and in above equation.

image

The n th term of a geometric sequence is image

Step 2 :

Substitute image in image

image

The fifth term of a geometric sequence is image

Solution :

The n th term of a geometric sequence is image

The fifth term of a geometric sequence is image

answered Feb 16, 2015 by Thomas Apprentice

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