Question

in an Ap 4th and 7th terms are 14 and 23 then find its 11th term​

Answer 1

Step-by-step explanation:

a⁴=14

a+3d=14----1

a⁷=23

a+6d=23----2

subtract equation 2 and 1

a+6d=23

-a-3d=14

_______

3d=9

_______

3d=9

d=9÷3

d=3

a+3d=14

a+3(3)=14

a+9=14

a=14-9

a=5

a¹¹

a¹¹=a+10d

=5+10(3)

=5+30

a¹¹=35

Therefore 11th term value is 35