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Question 9 Which equation would generate the arithmetic sequence: -5,- 14,- 23,-32,-41, A an = -5+9(n-1) B an = -5-9(n-1) C None of the other answers are correct D an = 9+5(n-1) E a = 9-5(n-1)

Sagot :

B

1) Examining the Arithmetic Sequence:

(-5,-14, -23,-32,-41,..)

We have the following information:

a_1 = -5

Common ratio:-9

2) From these data, we have the Explicit formula:

[tex]a_n=-5_{}-9(n-1)[/tex]

3) Looking at the options we have some formulas, so we can state that the equation that would generate the Arithmetic Sequence is described in option B