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Find the nth term of the geometric sequence.When given,r is the common ratio.

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Find the nth term of the geometric sequence.When given,r is the common ratio.

7, 14, 28, 56, ....

asked Feb 16, 2015 in PRECALCULUS by anonymous

1 Answer

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Step 1 :

nth term of a geometric sequence :

The nth term of a geometric sequence is .

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

Step 2 :

The sequence is image

The first term is image.

The second term is image.

The common ratio is .

Substitute image and image in above equation.

image

The common ratio is image.

Step 3 :

The nth term of a geometric sequence is

Substitute image and image in above equation.

image

The nth term of a geometric sequence is image.

Solution : 

The nth term of a geometric sequence is image.

answered Feb 17, 2015 by Thomas Apprentice

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