Preliminary test for divergence

[Jene]

[math]1/2-4/5+9/10-16/17+25/26....[/math]Find the preliminary test of the divergence

 

[Deleted member 4993]

[math]1/2-4/5+9/10-16/17+25/26....[/math]Find the preliminary test of the divergence

The numerators are squares of natural numbers in AP. What would be the numerator of the 'n'th term?

The denominator s are terms of an AP sequence. What is the denominator of the 'n'th term?

What is the 'n'th term?

What is the limit of the 'n'term as 'n' tends to infinity?

 

[skeeter]

nth term test?

 

[Steven G]

The numerators are squares of natural numbers in AP. What would be the numerator of the 'n'th term?

The denominator s are terms of an AP sequence. What is the denominator of the 'n'th term?

What is the 'n'th term?

What is the limit of the 'n'term as 'n' tends to infinity?

I think that it is better to just say that the denominator is one more than the numerator. For example, if the nth term of the numerator is n^2, then the nth term of the denominator is n^2 + 1. Now the OP should be thinking about a limit.