Question

In two or more complete sentences, describe the difference between an infinite series and a finite series.

Answer 1

A finite series converges to a finite value when the terms are added together, while an infinite series diverges to make its sum infinite.
An alternative definition is the number of terms. A finite number of times means the series is finite even if the sum of the terms is divergent. A convergent series nevertheless has an infinite number of terms.

Answer 2

Answer:

The difference between the finite and infinite series can be described as :

The finite series is one which has finite number of terms and most appropriately we can say that the Sequence of Partial Sum or SOPS of a finite series is convergent to a finite number or a fixed quantity.

On the other hand, The infinite series is one which do not have finite number of terms and most appropriately we can say that the Sequence of Partial Sum or SOPS of an infinite series is not convergent to a finite number or a fixed quantity.

Thus, A finite series and infinite series can be differed on the basis of the converging nature of their SOPS