Asequence is defined recursively using the equation f(n + 1) = f(n) – 8. if f(1)=100, what is f(6)?

Step-by-step explanation:

Given : f ( 1 ) = 100

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

Substituting n = 1, we get,

=> f ( 1 + 1 ) = f ( 1 ) - 8

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

Similarly, if n = 2, then,

=> f ( 2 + 1 ) = f ( 2 ) - 8

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

So f ( 6 ) = f ( 5 ) - 8

We know that, f ( 2 ) = f ( 1 ) - 8

=> f ( 3 ) = f ( 1 ) - 8 - 8 = f ( 1 ) - 16

If the pattern continues we get,

=> f ( n ) = f ( 1 ) - 8 ( n -1 )

=> f ( 6 ) = f ( 1 ) - 8 ( 6 - 1 )

=> f ( 6 ) = 100 - 8 ( 5 ) => 100 - 40 => 60

=> f ( 6 ) = 60

60 is your answer

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves