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Sergeu [11.5K]
2 years ago
15

What is the explicit formula for this sequence?

Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0

Answer:

The correct answer is b.)

Step-by-step explanation:

Given:

Sequence  -7, -4, -1, 2, 5.......  => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5

We conclude that this sequence is arithmetic series.

First we must find difference d:

d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3

d = 3

The formula for n-th term of the arithmetic series is:

aₙ = a₁ + (n-1) d

aₙ = -7 + (n-1) 3

God with you!!!

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