True or Flase? Adding all of the terms of an infinite sequence gives an infinite sum?

falseTrue or Flase? Adding all of the terms of an infinite sequence gives an infinite sum?
It depends on the infinite sequence. For example,


1+1/2+1/4+1/8+1/16... approaches but never reaches 1.


On the other hand,


1+1/2+1/3+1/4+1/5... very slowly approaches infinity.


I hope this answers your question.True or Flase? Adding all of the terms of an infinite sequence gives an infinite sum?
Woah there, the above answerer is definately wrong, infinite series do make sense. They either converge to a limit, or diverge. Sine and Cosine can be written as infinite series.





The previous examples of 1+1/2+1/4+1/8+... being convergent to 2 and 1+1/2+1/3+1/4+... not having a limit are very good examples.
True from some and false for others.
False, the answer is undefined since you can never total an infinite sequence.
false, it would equal zero. (...-2+ -1 + 0 + 1 + 2...=0 )


each number has an opposite that cancels it out.
That depends on the sequence it can be True or False.