Question

if 5th term of an a.p is 17and 2nd term is 11 then 6th term is​

Answer 1

Answer: 19

Step-by-step explanation:

Fifth term is 17 ,i.e., a + 4d = 17

Second term is 11 ,i.e., a + d = 11

Then, By using Elimination Method:

                             3d = 6

                               d = 2

So, a + d = 11

     a + 2 = 11

        a = 11 - 2

        a = 9

So, The Required Sixth term is a + 5d = 9 + 5 × 2 = 9 + 10 = 19

Hence, Sixth term is 19

Answer 2

Step-by-step explanation:

a5 = 17

a2 = 11

a5 = a + 4d = 17----------1

- - -

a2 = a + d = 11

_________________

3d = 6

d = 6÷3

d = 2

sub d = 2 in 1

a + 4d = 17

a + 4(2) = 17

a + 8 = 17

a = 17 - 8

a = 9

a6 = a + 5d

= 9 + 5(2)

=9 + 10

=19