Which sequence can be defined by the recursive formula f (1) = 4, f (n 1) = f (n) - 1.25 for n ≥ 1?

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Mathematics

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22 July, 01:01

Which sequence can be defined by the recursive formula f (1) = 4, f (n 1) = f (n) - 1.25 for n ≥ 1?

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April Arias · Answer 1

F (1) = 4; f (n+1) = f (n) - 1.25

f (1) = 4

f (2) = f (1) - 1.25 = 4 - 1.25 = 2.75

f (3) = f (2) - 1.25 = 2.75 - 1.25 = 1.50

f (4) = 1.50 - 1.25 = 0.25

f (5) = 0.25 - 1.25 = - 1

f (6) = - 1 - 1.25 = - 2.25

Sequence: 4, 2.75, 1.50, 0.25, - 1, - 2.25, ...