A sequence is defined recursively using the equation f (n + 1) = f (n) - 8. If f (1) = 100, what is f (6) ?

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Mathematics

Jillian

8 June, 12:55

A sequence is defined recursively using the equation f (n + 1) = f (n) - 8. If f (1) = 100, what is f (6) ?

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Darrell Stuart · Answer 1

F (n + 1) = f (n) - 8

f (1) = 100

f (2) = f (1) - 8 = 100 - 8 = 92

f (3) = f (2) - 8 = 92 - 8 = 84

f (4) = f (3) - 8 = 84 - 8 = 76

f (5) = f (4) - 8 = 76 - 8 = 68

f (6) = f (5) - 8 = 68 - 8 = 60