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 Geometric & arithmetic sequences... precalc help

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T O P I C    R E V I E W
happysharlee Posted - 01/03/2011 : 19:25:50
Suppose that a, b, and c are three consecutive terms in a geometric sequence. Show that 1/(a+b) , 1/(2b) , and 1/(c+b) are three consecutive terms in an arithmetic sequence.

I have no clue how to approach this question! It's from my textbook, so i know all relevant equations/formulas. Please help me out, my teacher is very strict.

I have a second question:

Let b denote a positive constant. Find the sum of the first n terms in the sequence

1/(1+b) , 1/(1-b) , 1/(1-b) , ...

I get that the denominators must form some kind of arithmetic sequence, but I can't for the life of me figure out what the common difference could be... please help!!
1   L A T E S T    R E P L I E S    (Newest First)
Dr.Steve Posted - 01/04/2011 : 19:22:40
Since the sequence is geometric there is a common ratio r. Then b=ar and c= ar. See if you can take it from there.

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