Python初学者while循环语句问题。

打算无限次输入数字进入数组member，并且每输入一次打印一次，但是输入后第一次不打印，第二次输入后打印两遍第一次输入的数字。
member = ["1","2","3","4","5"]
shuru = input()
#shuru = str(member)
member.append(shuru)
while True:
member.append(shuru)
shuru = input()
print(member)

member = ['1','2','3']
while True:
    shuru = input()
    member.append(shuru)
    print(member)