Question

Find the nth term for the following sequence 1/3 , 2/4 , 3/5 , 4/6 , 5/7

Answer 1

From the given :

`(1)/(3),(2)/(4),(3)/(5),(4)/(6),(5)/(7)`

We can notice that the numerator is increasing by 1 from 1.

1, 2, 3, 4, 5, ...

So we can say that the numerator is n

The denominator starts from 3 and increases by 1 also,

and we can say that the denominator is n + 2, since the first term is 3, (1 + 2 = 3)

Putting it together, we have :

`nthterm=(n)/(n+2)`

The answer is n/(n+2)