Click to Chat

1800-1023-196

+91-120-4616500

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
`        Let x1x x2x x3,........ Are In HP then value of summation k=1to k=20 (-1)^k.(xk+xk+1/xk-xk+1) equals to`
one year ago

Pavan Kumar
32 Points
```							Hi , thank you for asking the question      consider  (-1)k(xk+xk+1/xk  - x k+1)     ~1now ,as they are in H.P their inverse is in A.P and let common difference is r
1/xk+1=1/xk+r
1/xk+1 – 1/xk =r
1/( xk    –  xk+1  )=1/(r* xk  *xk+1)   ~2
substitute 2 in 1 then we get
(-1)k(xk+xk+1/r* xk  *xk+1)=  (-1)k(1/r)(1/ xk  +1/ xk+1 )
so the sequence we come as    -1(1/r)(1/x1+1/x2)+1/r(1/x2+1/x3)............(1/r)[-1/x1+1/x21]=     (1/r)[1/x21-1/x1]
Hope you got the solution .if there is any problem in understanding the solution continue the thread.
```
one year ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Algebra

View all Questions »

### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution

### Course Features

• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions