Answer:
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