AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
If and then find the value of .Answer:
Full solution
Q. If and then find the value of .Answer:
- Initialize Values: To find the value of , we need to use the recursive formula and the initial values and . We will calculate the values of , , and then in sequence.
- Calculate : First, let's find using the recursive formula. We have . Substituting the known values, we get .
- Calculate : Calculating , we get .
- Calculate : Next, we find using the recursive formula. We have . Substituting the known values, we get $a_{\(4\)}=\(3\)*(\(-6\))\(-3\)*\(0\).
- Final Result: Calculating \(a_{4}\), we get \(a_{4}=-18-0=-18\).
- Final Result: Calculating \(a_{4}\), we get \(a_{4}=-18-0=-18\). Finally, we find \(a_{5}\) using the recursive formula. We have \(a_{5}=3a_{4}-3a_{3}\). Substituting the known values, we get \(a_{5}=3*(-18)-3*(-6)\).
- Final Result: Calculating \(a_{4}\), we get \(a_{4}=-18-0=-18\). Finally, we find \(a_{5}\) using the recursive formula. We have \(a_{5}=3a_{4}-3a_{3}\). Substituting the known values, we get \(a_{5}=3*(-18)-3*(-6)\). Calculating \(a_{5}\), we get \(a_{5}=-54+18=-36\).
