1. The patterns and sums behind sequences and series

See how a sequence turns an ordered list of numbers into a rule or pattern. Concrete examples such as arithmetic and geometric sequences show how to predict later terms and describe changing quantities.

Comprueba lo que entendiste con un quiz corto.

Usa lo que aprendiste en la lección anterior para resolver problemas reales.

Discover why adding infinitely many terms does not always lead to infinity. Geometric series provide a striking example of how smaller and smaller contributions can approach a finite total.

Comprueba lo que entendiste con un quiz corto.

Usa lo que aprendiste en la lección anterior para resolver problemas reales.

Connect sequences and series to ordinary decisions and real systems: savings plans, repeated discounts, population models, signal processing, and computer algorithms. These examples show why recognizing growth and accumulation matters.

Comprueba lo que entendiste con un quiz corto.

Usa lo que aprendiste en la lección anterior para resolver problemas reales.

See how mathematicians, scientists, engineers, economists, and programmers use sequences and series to approximate values, analyze data, and build models. Possible projects include modeling compound interest, estimating a difficult quantity, or generating a visual pattern from a recurrence rule.

Comprueba lo que entendiste con un quiz corto.

Usa lo que aprendiste en la lección anterior para resolver problemas reales.

Repasa este capítulo con práctica basada en tus errores.