ponsklbrancsak ponsklbrancsak

30-07-2016
Mathematics

contestada

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 50 and the 8th term is 18.

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dalendrk dalendrk

31-07-2016

[tex]The\ geometric\ mean\ of\ x\ and\ y:a=\sqrt{xy}\\\\a_6=50;\ a_8=18;\ a_7=?\\\\a_7=\sqrt{a_6\cdot a_8}\\\\subtitute\\\\a_7=\sqrt{50\cdot18}=\sqrt{900}=30\\\\Answer:\boxed{a_7=30} [/tex]

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Hussain514 Hussain514

05-08-2016

The geometric mean of two numbers, a and b = √ab

Therefore the geometric mean of 50 and 18 = √(50 * 18) = √900

And √900 = 30.

Therefore the 7th term = 30

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