# Sequences & series intro

## Sequences review

Learn
Sequences introWorked example: sequence explicit formulaWorked example: sequence recursive formulaGeometric sequence reviewExtending geometric sequencesUsing explicit formulas of geometric sequencesUsing recursive formulas of geometric sequences

## Infinite sequences

Learn
Convergent and divergent sequencesWorked example: sequence convergence/divergenceFormal definition for limit of a sequenceProving a sequence converges using the formal definition

## Series review

Learn
Summation notationConverting explicit series terms to summation notationConverting explicit series terms to summation notation (n ≥ 2)Arithmetic series formulaWorked example: arithmetic series (sigma notation)Worked example: arithmetic series (sum expression)Worked example: arithmetic series (recursive formula)
Practice

## Finite geometric series

Learn
Geometric series introGeometric series with sigma notationWorked example: finite geometric series (sigma notation)Worked examples: finite geometric seriesFinite geometric series formula
Practice

## Partial sums

Learn
Partial sums introPartial sums: formula for nth term from partial sumPartial sums: term value from partial sumInfinite series as limit of partial sums
Practice

## Infinite geometric series

Learn
Worked example: convergent geometric seriesWorked example: divergent geometric seriesInfinite geometric series formula intuitionProof of infinite geometric series as a limitInfinite geometric series word problem: bouncing ballInfinite geometric series word problem: repeating decimalConvergent & divergent geometric series (with manipulation)
Practice

## Series basics challenge

Learn
Telescoping seriesDivergent telescoping seriesSum of n squares (part 1)Sum of n squares (part 2)Sum of n squares (part 3)Evaluating series using the formula for the sum of n squares
Practice