Question

Find the 6th term of series 1/6,1/3,1/2 in Ap

Answer 1

Answer:

The 6th term is 1.

Step-by-step explanation:

It is an A.P with

First term = a = 1/6

Common Difference = d = 1/3 - 1/6 = 1/6

________________

| nth term = a + (n-1)d |

|________________|

== 6th term = 1/6 + (6-1)*1/6

= 1/6 + 5/6

= 6/6

=1

Answer 2

Answer:

The 6th term of the AP is 1

Step-by-step explanation:

AP:  1/6, 1/3, 1/2.....

a= 1/6

d= $t_{2} - t_{1}$

  = 1/3 - 1/6

d  = 1/6

$t_{6} = a + (n-1)d$

   = 1/6 + (6-1) *1/6

   = 1/6 + 5*1/6

   = 1/6 + 5/6

   =  6/6

Therefore the 6th term is 1