Find the middle term (s) in the A.P. 20,16,12,.........-176.

20,16,12,.......,-176 is in AP.

here, a=20     d=16-20=-4       an=-176

a+(n-1)d=-176

20+(n-1)(-4)=-176

(n-1)(-4)=-196

(n-1)=-196/-4=49

n=49+1=50

the middle term  between 1& 50 r 25th term &26th term 

a25=20+24*(-4)=20-96=-76

a26=20+25*(-4)=20-100=-80

the middle term of the given AP is -76 & -80...........

I HOPE THIS WILL HELP U.......

  • 10

 

20,16,12…-176

a=20

d=a2-a1

   =16-20

  =-4

an=-176

 

an=a+(n-1)d

-176=20+(n-1)(-4)

-176-20=(n-1)(-4)

-196/-4=(n-1)

49=(n-1)

49+1=n

n=50

 

We need to find the middle term.

Therefore 50/2=25

 

an=a+(n-1)d

an=20+(25-1)(-4)

an=20+(24)(-4)

an=20-96

an=-76

 

The required answer is -76

 

  • 0

an=a+(n-1)d

-176=20+(n-1)-4

-176=20-4n+4

-176-24=-4n

-------->n=50

so middle term is 25

a25=a+24d

a25=20+24(-4)

a25 =-76

  • 4
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