How can I check if an array of numbers is an incremental sequence with no jumps?

I am trying to validate if an array of numbers is an incremental sequence with no jumps between numbers. For example:

const items = [1,2,3,4] // Should return true
const items = [1,2,4] // Should return false - jumps from 2 to 4
const items = [5,6,7] // Should return true

The array doesn’t always starts at 1, like the above example which returns true that starts at 5. How could I write a function to validate this so that it returns true or false depending on if the sequence has jumps?

Thanks in advance.