Auto Fill After Inserting Row Without Using Fill Handle?

Is there anyway to automatically fill the empty added cell after inserting a row without using the fill handle? For example, for a series of numbers: [URL]

2. Drag the fill handle Selected cell with fill handle across the range that you want to fill.

Or running balance: [URL]

2. Extend the running balance formula into the new rows by selecting the last cell in the balance column and then double-clicking the fill handle.