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.
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.