P Series - Sequence and Series
P Series
In this lesson, we will learn about p-series. They take on a special form, and look very similar to Harmonic series. However their convergence or divergence depends on the denominator's exponent, p. If p is greater than 1, then the series converge. If p is less than 1, then the series diverge. In this lesson, we will start off with looking at some simple p-series questions. Then we will look at a complicated p-series which convergences and divergences depending on a certain value.
Basic Concepts
- Introduction to infinite series
- Divergence of harmonic series
Lessons
Notes:
Note *P Series are in the form:
where if > 1 then the series converge. Otherwise, the series diverges.
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1.
Convergence and Divergence of P Series
Determine whether the series is convergent or divergent
