Question: Problem with the application of seq command

Dear friends, please I would like to ask for your help with the following situation: 

Suppose I have an Array   A:=Array([4]);   and I have to take the element A[i], add 1 to it and then append it to A, with i = 1..3. The result would be, 

A:= [4 5 6 7] 

I do know how to perform the task with a for loop, however I know that for large i it is more advisable to use seq for speed reasons.   I cannot find the right syntax to perform such a task with seq. Could you please advise me how to do so? 

Many thanks for your help. 

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