Question

Write the next four terms of given ap
1/6 , 1/3, 1/2​

Answer 1

d=1/6

a1= 1/6

a4= 2/3

a5= 5/6

a6= 1

a7= 7/6

Answer 2

answer is 2/3,5/6,1 and 7/6.

Explanation:

first term(a) =1/6

common difference (d) =t2-t1

=1/3 - 1/6

= 1/6

We know,

tn=a+(n-1)d

= 1/6 +(n-1)*1/6

= 1/6 + 1/6n - 1/6

= 1 /6 n

Now,

t4= (1/6)*4

=2/3

t5=(1/6)*5

=5/6

t6=(1/6)*6

=1

t7=(1/6)*7

=7/6

Therefore, the next four terms are 2/3,5/6,1 and 7/6.