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Welcome to Week 2 of sequences and series.

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[MUSIC].

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Last week in Week 1, we covered sequences.

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And the name of this course is Sequences
and Series.

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So this week, in Week 2, we're going to
look at series.

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What's a series?

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a series is basically what you get when
you

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add up the numbers in a sequence, in
order.

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But that simple sounding definition is
hiding a great deal of complexity.

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What does it even

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mean to add up an infinite list of
numbers?

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When would I ever finish that task?

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How does it even make sense?

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Well it turns out that in many cases, it
does make

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sense to assign a value to an infinite
process like that.

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And dealing with that is exactly what will
occupy us for this week.

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The other thing I want to say is thank
you.

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You're the first people to try out all

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this new material and that's a huge
responsibility.

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There's bugs, there's mistakes.

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I really appreciate all the hard work that
you're putting into this

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course and I really appreciate all the
feedback that you've given me.

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Thank you.

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[NOISE]