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6) -8,0,8,16,ldots Geometric: Yes or No (circle your choice) If geometric, what is r?

Pergunta

6) -8,0,8,16,ldots 
Geometric: Yes or No (circle your choice)
If geometric, what is r?

6) -8,0,8,16,ldots Geometric: Yes or No (circle your choice) If geometric, what is r?

Solução

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NataliVeterano · Tutor por 12 anos

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To determine if the sequence $-8, 0, 8, 16, \ldots$ is geometric, we need to check if there is a constant ratio between consecutive terms.<br /><br />Let's calculate the ratio between the second term and the first term:<br />$\frac{0}{-8} = 0$<br /><br />The ratio between the third term and the second term:<br />$\frac{8}{0}$<br /><br />Since the ratio between the second term and the first term is 0, and the ratio between the third term and the second term is undefined, the sequence is not geometric.<br /><br />Therefore, the answer is:<br />Geometric: No
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