Sequence and Series

A sequence is like a box that full of balls, and the number of the balls are all different, pick some  balls from the box, and they are now moved into a brand-new box, if we let all these balls in some special order, then balls in the box could be a sequence. And the ball which have many balls inside should be the series.

Divergent and Convergent of the sequence:

Maybe we can imagine the convergent of the sequence as take out money from your debit card, and you’re the richest man all around the world, but if you do not save money into your card but keep take money from the card, so there must have a time when you taken all the money from the card (but you still have the card, and it still has its value, so it means you might not going to be a bachelor);

Divergent of the sequence is like saving money to the bank, and there are more and more money in your card.

Divergent and C convergent of the series:

We can think about the series like the velocity of saving money, maybe the velocity of saving money is going down, but you’re still saving money, so there are more and more money you’ll save, this is diverge.

We can think about the velocity of taking out the money is going down, so there should be a limit that you can not take out any money from the card because the velocity is 0, but you still have money in your card, this is converge.