Question

Find the AP of a2-a6+a4= -7​

Answer 1

Answer:

Given:-

a4+a5 = 22

a2×a6 = 200

To Find:-

AP

Solution:-

a4= a+3d

a6 = a+5d

=> a4+a6

= 2a+8d = 22.

=> a+4d = 11

=> a = 11-4d....... ....(1)

similarly,

a2×a6

=(a+d)(a+5d) = 200

=> (11-4d+d) ( 11-4d+5d) = 200

=>(11-3d)(11+d) = 200

=> 121+11d-33d-3d² = 200

=> 3d²+22d +79

after solving this equation

you will find d then a and

thus the AP.