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When does the summation of infinite series start with n=0 and when does it start with n= 1?
In mathematics, infinite series refers to a series composed of infinite terms. The summation of infinite series can start from different starting terms, generally starting from n=0 or starting from n= 1.

When summing from n=0, it means that the first term is n=0, and then the value of n is gradually increased. In this case, the summation expression of infinite series can be written as:

S = a0 + a 1 + a2 + a3 + ...

Where a0 is the term when n=0, a 1 is the term when n= 1, and so on.

When the sum starts from n= 1, it means that the first term is n= 1, and then the value of n gradually increases. In this case, the summation expression of infinite series can be written as:

S = a 1 + a2 + a3 + a4 + ...

Where a 1 is the first term, a2 is the term when n=2, and so on.

It should be noted that the choice of summing from n=0 or from n= 1 depends on specific problems and application scenarios. In some cases, it is more convenient to sum from n= 1, while in other cases, it is more appropriate to sum from n=0.