Step by step, construct an AVL tree for the following sequence: 144, 151, 162, 70, 41, 120, 158. Draw thetree at each step and give the step-by-step workout.

Sure, here is the step-by-step construction of an AVL tree for the given sequence: 144, 151, 162, 70, 41, 120, 158.

1. Start by making the first number, 144, the root of the tree.

2. Next, insert 151. Since 151 is greater than 144, it goes to the right of 144.

3. Insert 162. Again, since 162 is greater than both 144 and 151, it goes to the right of 151. Now, the tree is unbalanced. Perform a left rotation on 151 to balance the tree.

4. Insert 70. Since 70 is less than 144, it goes to the left of 144. The tree remains balanced.

5. Insert 41. Since 41 is less than both 144 and 70, it goes to the left of 70. Now, the tree is unbalanced. Perform a right rotation on 144 to balance the tree.

6. Insert 120. Since 120 is less than 144 but greater than 70, it goes to the right of 70. The tree remains balanced.

7. Finally, insert 158. Since 158 is greater than 144 but less than 162, it goes to the left of 162. Now, the tree is unbalanced. Perform a left rotation on 151 to balance the tree.

Please note that this is a text-based explanation. Drawing the tree at each step would require a graphical representation that can't be provided in this text-based format. However, there are many online AVL tree generators available where you can visualize this process.