Question

11thterm - 38, 16thterm- 73 find an Ap

Answer 1

let first term be a and common difference be d.
11 th term = 38
a + 10d= 38 (eqn 1)
16 th term = 73
a + 15d = 73 (eqn 2)

subtracting eqn 2 from eqn 1,we get
10d - 15d= 38-73
-5d= -35
d=7

from eqn 1,
a+10(7)=38
a=38-70
a=-32

AP= -32,-25,-19,-12......

Answer 2

a+10d=38

a+15d=73

——————-

-5d= -35

d=35/5=7

Put d=7

a+10d=38

a+10*7=38

a=38-70= (-32)

1st term=-32

Second=-32+7=(-25)

Third= -25+7= (-18)

Ap= -32, -25,-18.........