One of them is not like the other

Algebra Level 3

True or False?

\quad The sequence { x x , x 2 x , x 3 x , x 6 x } \{x^x, x^{2x}, x^{3x}, x^{6x} \} can never be a geometric sequence .

True False

Pi Han Goh by Pi Han Goh , 30, Malaysia

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1 solution

J D
Aug 1, 2016

When X=1, the series would be 1+1+1+1 which is a geometric series with a=1 and r=1

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Is there a solution when x ≠ 1 x\ne 1 too?

Pi Han Goh - 4 years, 10 months ago

Umm.... I think there's only 1 solution that is,x=1.Am i right.or not?

Anandmay Patel - 4 years, 10 months ago

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There is at least one more...

Pi Han Goh - 4 years, 10 months ago

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