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erma4kov [3.2K]
3 years ago
13

Write an explicit rule for the nth term of the sequence 64,48,36,27

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

  • aₙ = 64(3/4)ⁿ⁻¹

Step-by-step explanation:

<u>Given sequence:</u>

  • 64, 48, 36, 27

<u>We can observe that:</u>

  • 27/36 = 3/4
  • 36/48 = 3/4
  • 48/64 = 3/4

This is a GP with the first term of 64 and common ratio of 3/4.

<u>The equation for the nth term is:</u>

  • aₙ = 64(3/4)ⁿ⁻¹
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