Hi Show that the sequence given by an = 1/(n+1) + (1/(n+2)) + (1/(n+3)) +...... (1/(n+n')) converges.
Follow Math Help Forum on Facebook and Google+
Originally Posted by champrock an = 1/(n+1) + (1/(n+2)) + (1/(n+3)) +...... (1/(n+n')) converges. Have you noticed that ? That is an approximating sum for .
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 ?
View Tag Cloud