A sequence is defined recursively using the equation . If f(1)=100, what is f(6)?
Accepted Solution
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Answer:Step-by-step explanation:The complete question is:A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6) ?Since, A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100,we have to find the value of f(6).Considerf(n+1) = f(n)-8Let n =1, we getf(1+1) = f(2) = f(1) - 8 = 100-8 = 92Let n =2, we getf(2+1) = f(3) = f(2) - 8 = 92-8 = 84Let n =3, we getf(3+1) = f(4) = f(3)-8 = 84 - 8 = 76Let n =4, we getf(4+1) = f(5) = f(4)-8 = 76 - 8 = 68Let n =5, we getf(5+1) = f(6) = f(5) - 8 = 68-8 = 60Therefore, the value of f(6) is 60.