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Alekssandra [29.7K]
3 years ago
9

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

Answer:

  • aₙ = 3n - 6

Step-by-step explanation:

<u>Given sequence:</u>

  • −3, 0,3,6,9,...

<u>This is AP with:</u>

  • The first tern a₁ = - 3
  • Common difference d = 3

<u>The rule for the nth term of the sequence is:</u>

  • aₙ = a₁ + (n - 1)d

<u>Substitute values:</u>

  • aₙ = -3 + (n - 1)(3) =
  •       -3 + 3n - 3 =
  •        3n - 6

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