Question

find the missing tearm.
____,38____,_____,______,-22​

Answer 1

Given: a

2 =38, and a 6 =−22

We know that,

a n =a+(n−1)d

a 2 =a+(2−1)d

38=a+d....(i)

and a 6 =a+(6−1)d−22=a+5d....(ii)

Solving linear equation (i) and (ii), we get

a+d−a−5d=38−(−22)

⇒−4d=60

⇒d=−15

Putting the value of d in equation (i), we get

a+(−15)=38

a−15=38

⇒a=53

Now,a

3=a+2d=53+2(−15)=53−30=23

a

4=a+3d=53+3(−15)=53−45=8

a

5 =a+4d=7+4(−15)=53−60=−7

Hence, the missing terms are 53,23,8 and −7