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Which of the following sequences are geometric sequences?

Check all that apply.

A. 10, 13, 16.9, 21.97, 28.561, 37.1293, ...
B. 10, 12, 13.1, 13.31, 15.641, ...
C. 15, 30, 60, 120, 240, ...
D. 0.1, 0.01, 0.001, 0.0001, 0.00001, ...
E. 5, 125, 225, 1,625, 3,125, ...

Respuesta :

HomertheGenius
Geometric sequence: a ( n ) = a ( n - 1 ) · r
A ) 13 = 10 · r,  r = 1.3
16.9 = 13 · 1.3,  21.97 = 16.9 · 1.3,  28.561 = 21.97 · 1.3,  
37.1293 = 28.561 · 1.3 
C ) 30 = 15 · r,  r = 2, 60 = 30 · 2,  120 = 60 · 2,  240 = 120 · 2 
D ) 0.01 = 0.1 · r,   r = 0.1
0.001 = 0.01 · 0.1 ,   0.0001 = 0.001 · 0.01,  0.00001 = 0.0001 · 0.1
Answer: Geometric sequence are A ), C ) and D ).

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