Help with this please!

Question

anonymous · Answer

Here it is

anonymous · Answer

No it is not divergent

anonymous · Answer

Generally, only infinite series can diverge, because their sum can equal infinity

anonymous · Answer

Then what would it be?

anonymous · Answer

Convergent is the opposite of divergent, but neither really applies to a finite series like this one

anonymous · Answer

In this case, just plug in i = 1 and i = 2 .... to i = 5. and sum them

anonymous · Answer

Hm interesting, what would it be called if it is neither? because, hold on let me post the whole question

anonymous · Answer

attachment

anonymous · Answer

$$\sum3+15+75+375+1875 = 2343$$

anonymous · Answer

Ok that part I did get.

anonymous · Answer

I guess when it asks about whether the parital sum is divergent or convergent in nature. It is asking would partial sums like this lead to a diverging series if it was an infinite series

anonymous · Answer

So the answer would be yes, because the terms tend to infinity as i increases

anonymous · Answer

Thank you, but it is asking about this particular partial sum

anonymous · Answer

I think the answer is still divergent. But here it is all about definitions, check how your teacher defined it
Glad i could help

anonymous · Answer

Thank you very very much :)