What is the maximum sum that can be achieved by selecting non-adjacent elements from a given list of numbers?

To find the maximum sum by selecting non-adjacent elements from a list of numbers, you can use dynamic programming. Start by creating an array to store the maximum sum up to each element. Iterate through the list of numbers and for each element, calculate the maximum sum by either including the current element or excluding it. Keep track of the maximum sum achieved so far. At the end of the iteration, the final element in the array will contain the maximum sum that can be achieved by selecting non-adjacent elements.