- Arithmetic sequences
Summation notation (4:26)
- Writing
using the summation (sigma) notation.
- Writing
using the summation (sigma) notation.
- Expanding
.
- Writing
Introduction to sequences (8:17) For the sequences
and
, the notation used to indicate a term of the sequence and a formula for it are discussed.
Introduction to arithmetic sequences (7:06) Recognizing arithmetic sequences, the initial term and their common difference. Explicit and recursive formulas are discussed.
- * Practice: Recursive formulas for arithmetic sequences. (4 problems)
- * Practice: Extend arithmetic sequences. (4 problems)
- * Practice: Explicit formulas for arithmetic sequences. (4 problems)
Explicit formulas for arithmetic sequences (6:16) Deriving a formula for the sequence
.
- Arithmetic series
Arithmetic series intro (3:55) The sum of the first
terms in the sequence
.
Arithmetic series formula (7:46) The sum of the first
terms in the sequence
.
Arithmetic series (sigma notation) (7:01) Find
.
Arithmetic series (sum expression) (6:46) Find
.
Arithmetic series (recursive formula) (5:20) Given that
and
, find the sum of the first
terms of the sequence.
- * Practice: Arithmetic series. (4 problems)