Series — Algebra II, what it means and where it is taught

The sum of the terms of a sequence.

Taught in Algebra II.

Where it is taught

What it rests on

Work through these first if this one does not settle.

Practise this idea

2 questions in the course bank use Series, in Series & Sigma Notation.

Problem 1

Which infinite series has a finite sum?

  1. 1+12+14+⋯
  2. 1+2+4+⋯
  3. 1+1+1+⋯
  4. 2+4+8+⋯
Worked answer

1+12+14+⋯

Only the first has |r|<1

The others grow without limit

Problem 2

Write 0.4 as a fraction in lowest terms.

Worked answer

4/9

0.41-0.1=0.40.9=49

Elsewhere

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