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The function f (n) =9 - 5 (n - 1 ) generates an arithmetic sequence. Generate the first 5 numbers in the sequence.

1 Answer

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Answer:

9, 4, - 1, - 6, - 11

Explanation:

to generate the first 5 terms, substitute n = 1, 2, 3, 4, 5 into f(n)

f(1) = 9 - 5(1 - 1) = 9 - 5(0) = 9 - 0 = 9

f(2) = 9 - 5(2 - 1) = 9 - 5(1) = 9 - 5 = 4

f(3) = 9 - 5(3 - 1) = 9 - 5(2) = 9 - 10 = - 1

f(4) = 9 - 5(4 - 1) = 9 - 5(3) = 9 - 15 = - 6

f(5) = 9 - 5(5 - 1) = 9 - 5(4) = 9 - 20 = - 11

the first 5 numbers are 9 , 4 , - 1 , - 6 , - 11

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