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Series (Does the series have the form r to the n where r is a constant?…
Series
Does the series have the form r to the n where r is a constant?
Yes
Is a geometric series!
Steps:
Identify your "a" and "r", where "a" is the initial tern of the geometric series and "r" is the common ratio
The series converges if -1< r <1 and it diverges if its equal or greater than 1
Converges?
Yes
Use the form:
"a/1-r" to get the value of convergence
No
It diverges!
No
Apply the limit (divergence test)
Is the limit different from 0?
No
Does it has the harmonic form 1/n or a constant multiplied 1/n?
Yes
Is a harmonic series!
So it always diverges
No
Can your An be split into 2 or more terms when at least one in positive and the other in negative?
No
1 more item...
Yes
1 more item...
Yes
It diverges!