Find the indicated terms of the sequences whose nth terms are given by (i) an = 5n / (n + 2); a6 and a13

Find the indicated terms of the sequences whose nth terms are given by

(i) an  = 5n / (n + 2); a6 and a13

Solution :

To find a6, we have to apply 6 instead of n.

To find a13, we have to apply 13 instead of n.

an  = 5n / (n + 2) n = 6  a6  = 5(6)/(6 + 2)   =  30/8  a6  = 15/4

an  = 5n / (n + 2) n = 13  a13  = 5(13)/(13 + 2)   =  65/15  a13  = 13/3