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3 years ago

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:

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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