Problem

If f(1)=7 and f(n)=f(n1)+2 then find the value of f(4).

Answer

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Answer

Therefore, the final answer is f(4)=13

Steps

Step 1 :Given that f(1)=7 and f(n)=f(n1)+2

Step 2 :We can use the given recursive formula to find f(4)

Step 3 :First, find f(2): f(2)=f(21)+2=f(1)+2=7+2=9

Step 4 :Then, find f(3): f(3)=f(31)+2=f(2)+2=9+2=11

Step 5 :Finally, find f(4): f(4)=f(41)+2=f(3)+2=11+2=13

Step 6 :So, f(4)=13

Step 7 :Check the result: f(4)=f(3)+2=11+2=13, which is consistent with the previous result

Step 8 :Therefore, the final answer is f(4)=13

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