4801812092fia
contestada

If all terms of a series are​ positive, the series sums to a positive number?

A.
The statement is false because the series could converge to a negative number.
B.
The statement is true because the series will converge to a positive number because the series contains no negative terms.
C.
The statement is true because the series cannot diverge since all the terms are positive.
D.
The statement is false because the series could diverge.

Respuesta :

markfleeman44
It is B. There are no counterexamples of it being wrong.

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them. The correct option is B.

What is geometrical series?

A geometric series is the sum of an unlimited number of terms with a fixed ratio between them.

The given statement "If all terms of a series are​ positive, then the series sums to a positive number" is true because the series will converge to a positive number because the series contains no negative terms.

Hence, the correct option is B.

Learn more about Geometrical Series:

https://brainly.com/question/4617980

#SPJ2

Otras preguntas