Answered

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

Sagot :

mhanifa

Answer:

  • aₙ = 3n - 6

Step-by-step explanation:

Given sequence:

  • −3, 0,3,6,9,...

This is AP with:

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

The rule for the nth term of the sequence is:

  • aₙ = a₁ + (n - 1)d

Substitute values:

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

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