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  • 22-05-2023
  • Mathematics
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What is the 10th term of the geometric sequence where a1 = 384 and a7 = 6?
0.75

3

6

1.5

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-05-2023

Answer:

  (a)  0.75

Step-by-step explanation:

You want the 10th term of the geometric sequence with a1 = 384 and a7 = 6.

N-th term

The equation for the n-th term can be written ...

  an = a1·b^(n-1)

Using a1 = 384, we can find b from ...

  a7 = 6 = 384·b^(7-1)

  (6/384)^(1/6) = b

10th term

Then the 10th term is ...

  a10 = 384·(6/384)^((10-1)/6) = 0.75

The 10th term of the sequence is 0.75.

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