Question

Find the geometric mean between 14 and - 6

Answer 1

★ GEOMETRIC PROGRESSION ★

☣ THE COMMON RATIO OF G.P. MAY BE POSITIVE , NEGATIVE , OR IMAGINARY .

☣ AND , GEOMETRIC MEAN BETWEEN TWO POSITIVE NUMBERS IS √a√b ... WHERE , a AND b ARE RESPECTED NUMBERS ...

☣ HERE , IN THIS CASE WE CAN'T OBTAIN SUCH GEOMETRIC MEAN , ASLIKE , EXPECTED ...

☣ AND IF BOTH ARE POSITIVE ... THE REQUIRED MEAN WILL BE 2√21
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Answer 2

WE KNOW THAT GEOMETRIC MEAN IS (x*y*........*N)^1/N
here are TWO NUMBERS SO N=2

NOW √14×-6 IS NOT POSSIBLE BECAUSE IT'S AN IMAGINARY NUMBER THEREFORE NO GEOMETRIC MEAN

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