ontinues Write down the nth term of the sequence fan suggest

ontinues. Write down the nth term of the sequence fan) suggested by the pattern. The 12 13 14 15 an)- 12

Solution

1/12,2/13,3/14,4/15,...

Here the numerators are in the pattern 1,2,3,4 .. where n th term is n

The denominator are in the pattern 12,13,14,15,.... where n th term is 12+(n-1)1= 11+n

Therefore n th term is n/(11+n)