Question

find AP if 5th term is 15 and seventh term is 35​

Answer 1

15=a+4d...eq1

35=a+6d...eq 2

now

on sub eq 1 from eq 2

a+6d=35

a+4d=15

- -= -

...............

2d=20

d=10

put the value in eq 1

a+4×10=15

a=-25

Hope it hwlps u❤

Answer 2

a+4d=15.................(1.)

a+6d=35....................(2.)

(in attachment)

a=-25

a+d=a2

-25+10=a2

-15=a2

a+2d=a3

-25+2(10)=a3

-25+20=a3

-5=a3

a+3d=a4

-25+30=a4

-5=a4

So,the Ap is -25,-15,-5,-5