badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

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

Please check your email for login details.
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
Menu
Grade: 6

                        

Five thieves broke into the jeweler's shop and stole only diamonds. Thief 1 took one half of the first diamond and a diamond Thief 2 took one-half of the rest of the diamond and a diamond. Thie f3 took one-half of the rest of the diamond and a diamond. Thief 4 took one-half of the rest of the diamond and a diamond. Thief 5 didn't have any diamonds left to take. Question: So how many diamonds were there in the jewelry store at first?

6 months ago

Answers : (1)

Aditya Gupta
2065 Points
							
the lang of ur ques is a bit unclear. however i ll try my best to ans it.
let the no. of inital diamonds be A_0.
after thief 1 commits his crime, let the no of diamonds LEFT be A_1.
similarly after thief 2 commits his crime, let the no of diamonds LEFT be A_2 and so on.....
clearly, A_(n+1) = A_n – (A_n/2 + 1)
or 2[1 + A_(n+1)] = A_n
also, A_4= 0
So, A_3= 2(1+0)= 2
so A_2= 2(1+2)= 6
so A_1= 2(1+6)= 14
or A_0= 2(1+14)= 30
Hence there were 30 diamonds initially.
KINDLY APPROVE :))
 
6 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


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


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details