Hi

Show that the sequence given by

an = 1/(n+1) + (1/(n+2)) + (1/(n+3)) +...... (1/(n+n')) converges.

Printable View

- Apr 16th 2009, 01:09 PMchamprockSequences question
Hi

Show that the sequence given by

an = 1/(n+1) + (1/(n+2)) + (1/(n+3)) +...... (1/(n+n')) converges. - Apr 16th 2009, 02:22 PMPlato
- Apr 17th 2009, 12:13 AMchamprock
i am slightly confused. cant this sequence be considered as an extension of the 1 + 1/1 + 1/2 + 1/3 sequence?

So the sequence goes like 1 + 1/1 + 1/2 + 1/3 .....**1/(n+1) + (1/(n+2)) + (1/(n+3)) +...... (1/(n+n'))**...... 1/(n+n'+1) .... and so on ?