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There is a Select overload that adds an index to each element of a sequence :
Dim Letters = new string() {"a","b","c","d","e"}
Dim IndexedLetters = Letters.Select(function (aLetter, index) new with {.Index = index + 1, .Letter = aLetter})
' For LINQPad users : IndexedLetters.Dump
Can this query be written in Query Notation ?
No untfortunately it cannot. The Select overload you mentioned is not one of the Select overloads that the VB.Net (or C#) compiler will bind to in query notation. You must write this one out by hand as your example shows.