Intro to Sequences | Calculus, Real Analysis
We introduce sequences, consider them as functions, and go over some sequence notation as well as other concepts and terminology in today's lesson video lesson on sequences!
A sequence is a list of numbers in some definite order. Each number in a sequence is called a term of the sequence. So the first number in the sequence is the first term. Some sequences have nice expressions that tell us how to find the nth term in the sequence, but not all sequences are so simple. We'll touch on the Fibonacci sequence as well, which is an example of what's called a recursive sequence.
If a sequence gets arbitrarily close to some real number, we call that number the limit of the sequence and say the sequence converges to the limit, and thus the sequence is called a convergent sequence. A sequence that doesn't converge is said to diverge. A sequence may diverge to positive infinity, negative infinity, or neither. For example, the sequence s_n = (-1)^n is -1, 1, -1, 1, ... . This sequence doesn't converge - so it diverges, but not to positive or negative infinity.
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
◆ Support Wrath of Math on Patreon: / wrathofmathlessons
I hope you find this video helpful, and be sure to ask any questions down in the comments!
+WRATH OF MATH+
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● Facebook: / wrathofmath
● Twitter: / wrathofmathedu
My Music Channel: / seanemusic
Смотрите видео Intro to Sequences | Calculus, Real Analysis онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Wrath of Math 24 Июнь 2020, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 35,259 раз и оно понравилось 804 людям.