Determine the numbers a,b and c such that a,b,c are three consecutive terms of a geometric sequence and an arithmetic sequence and a×b×c=27
vishalkumar2806:
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Cannot be determined..
complex solution are formed
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Step-by-step explanation:
We can write the following statement, assuming the progression is n as -
a×(an)×(an×n) = 27 giving
(a*a*a)(n*n*n) = 27
The cube root of 27 is 3.
So either a or n must be 3 and the other number must be 1.
So either a=3 and n=1 or a=1 and n=3
Giving either: 1,3,9, total 13 or
3,3,3, total 9.
So the smallest possible sum is 9.
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