Problem

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

Answer

Expert–verified
Hide Steps
Answer

Therefore, the final answer is $f(4)=\boxed{13}$

Steps

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

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

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

Step 4 ：Then, find $f(3)$: $f(3)=f(3-1)+2=f(2)+2=9+2=11$

Step 5 ：Finally, find $f(4)$: $f(4)=f(4-1)+2=f(3)+2=11+2=13$

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 $f(4)=\boxed{13}$

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More