Math 152 exam 2 study

In geometric series is abs. value of r greater than one divergent or convergent?

Divergernt

In geometric series, if abs. Value of r is convergent how do you find the sum?

If abs. value of r is less than one then the sum of the series is equal to a over r minus 1

In the integral test, what does the f(x) have to be?

1) decreasing 2) continuous 3) positive

If a sub n = f( x), by the integral test when is the series convergent?

When the integral of f(x) from [1, oo] is convergent

According to p-series when is the series considered convergent?

When p is greater than one

When is p-series considered convergent

When p is less than or equal to one

In the comparison test, when is the sum of bn considered convergent?

When bn is less than or equal to an, then an is convergent too

In the comparison test if bn is greater than an, then what happens?

Both the sums of an and bn are divergent

In the AST, the sequence has to satisfy what to be considered convergent?

1) a sub n + 1 greater than a sub n ( meaning it's decreasing)
2) lim to oo of a sub n equals zero
3) it has to alternate lol

In the test for divergence what does it mean for the series to equal zero?

It does not mean it either converges or diverges

How is a series divergent under the test for divergence

If the lim of a sub n does not equal zero