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help please.

classify as arithmetic, geometric, or neither. Finally find an explicit formula (rule for the nth term) for each. Designate the first term with n = 1.

ii)2b,4b,6b,8b,10b,12b,14b

iii)3, –9, 27, –81, ...

asked Jan 29, 2015 in PRECALCULUS by anonymous

2 Answers

0 votes

(i)

Step 1:

The series image

An arithmetic series is a series of numbers such that the difference of any two successive members of the series is a constant.

The series is arithmetic series.

Common difference image

image

Formula for the image term in arithmetic series image.

Where image first term.

Substitute the values image in image term.

image

image

image.

Step 2:

Find the first term in the series.

Substitute image in image.

image

image

Solution:

image term image.

answered Jan 30, 2015 by david Expert
edited Jan 30, 2015 by david
0 votes

(iii)

Step 1:

The series image

A geometric series is a series with a constant ratio between successive terms.

The series is geometric series.

Common ratio image

image

Formula for the image term in geometric series image.

Where image first term.

image

Step 2:

For image

image

image

image

image

image

Solution:

image term image.

answered Jan 30, 2015 by david Expert
edited Jan 30, 2015 by david

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