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happysharlee
Junior Member
USA
5 Posts |
 Posted - 01/03/2011 : 19:25:50
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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.
EDIT:
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!! |
Edited by - happysharlee on 01/03/2011 21:59:50 |
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Interactive Math Goodies Software
Geometric & arithmetic sequences... precalc help
. See if you can take it from there.
