3. if $f(1)=10$ and $f(n)=f(n - 1)+2$ then find the value of $f(6)$.
3. if $f(1)=10$ and $f(n)=f(n - 1)+2$ then find the value of $f(6)$.
Answer
Explanation:
Step1: Find f(2)
Given (f(n)=f(n - 1)+2) and (f(1) = 10), when (n = 2), (f(2)=f(2 - 1)+2=f(1)+2=10 + 2=12)
Step2: Find f(3)
When (n = 3), (f(3)=f(3 - 1)+2=f(2)+2=12+2 = 14)
Step3: Find f(4)
When (n = 4), (f(4)=f(4 - 1)+2=f(3)+2=14+2=16)
Step4: Find f(5)
When (n = 5), (f(5)=f(5 - 1)+2=f(4)+2=16+2 = 18)
Step5: Find f(6)
When (n = 6), (f(6)=f(6 - 1)+2=f(5)+2=18+2=20)
Answer:
20