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Which equation would generate the arithmetic sequence: -8.-3.2.7.12. A 5-8(n-1) B = -8+5(n-1) C None of t
Question
Which equation would generate the arithmetic sequence: -8.-3.2.7.12.
A 5-8(n-1)
B = -8+5(n-1)
C None of the other answers are correc
D = -8-5(1-1) a = 5+8(n-1)
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Mathematics
5 years
2021-08-28T10:42:41+00:00
2021-08-28T10:42:41+00:00 1 Answers
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Answers ( )
Answer: B
Step-by-step explanation:
The equation for an arithmetic sequence is:
aₙ = a₁ + d(n – 1)
This matches answer B, so lets test it.
Substitue the position values for n
Given: Position 1 = -8
Solve Position 2:
a₂ = -8 + 5(2 – 1) = -3
a₃ = -8 + 5(3 – 1) = 2
a₄ = -8 + 5(4 – 1) = 7
a₅ = -8 + 5(5 – 1) = 12