#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# if the first and (2n_1)th term of an AP,GP andHP are equal and their nth term are a,b,and c respectively,then  Badiuddin askIITians.ismu Expert
147 Points
11 years ago

dear sudhir singh

let first term is x

then (2n-1)th term

x+(2n-2)d1  = xr2n-2 = x/{1+(2n-2)d2} =k

so  (n-1)d1=(k-x)/2

and  rn-1=√k/x

and   x (n-1)d2 =(x-k)/2k

so for nth term

given   a = x+(n-1)d1

=(k+x)/2

b = xrn-1 = √kx

c = x/({1+(n-)d2} = 2kx/(x+k)

clearly   a.c =b2

Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

All the best.

Regards,