Question

which of the following is true statement ?
a. a finite series has no sum
b. any finite series has a sum
c. some infinite arithmetic series have a sum
d. all infinite arithmetic series have a sum

Answer 1

since arithmetic series have a constant difference, they cannot have a finite sum. The differences have to get smaller and smaller for that to happen.

So, what do you think?

Answer 2

So the answer is A ?

Answer 3

sigh
Nope. B -- you are adding a finite number of values. of course it has a sum!

Answer 4

Which of the following statements is true?
a. Any infinite series has a sum
b. A series has no sum if it is finite
c. An infinite arithmetic series has sum.
d. Not all infinite geometric series has sum.