Question

If f(1)=4 and f(n)=f(n-1)+5 then what is the value of f(5)

Answer 1

The value of f(5) is 24. Value of f(5) is obtained from the function f(n)= f(n-1)+5 and f(1)=4.

Step-by-step explanation:

The given function and value are,

             f(n)=f(n-1)+5,

             f(1)=4

      To find f(5), we need to find the values of f(2), f(3), f(4) because in the function f(n-1) is available.

Step:1

      Take, n=2,

      From the given function,

      f(2)=f(2-1)+5

      f(2)=f(1)+5

      f(2)=4+5

      f(2)=9

Step:2

      Take, n=3,

      From the given function,

      f(3)=f(3-1)+5

      f(3)=f(2)+5

      f(3)=9+5

     f(3)=14

Step:3

      Take, n=4,

      From the given function,

      f(4)=f(4-1)+5

      f(4)=f(3)+5

      f(4)=14+5

      f(4)=19

Step:4

     Take, n=5,

     From the given function,

     f(5)=f(5-1)+5

     f(5)=f(4)+5

     f(5)=19+5

    f(5)=24

Result:

    If f(1)=4 and f(n)=f(n-1)+5,the value of f(5) is 24.