Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

9372462318 / 9987178554

Mon to Sat - 10 AM to 7 PM

ques no 6

Asked by chandanbr6004 15th November 2017, 9:42 PM
Answered by Expert
Answer:
begin mathsize 16px style sum from straight r equals 1 to 100 of open parentheses 2 to the power of straight r divided by 3 end exponent plus 2 to the power of bevelled fraction numerator negative straight r over denominator 3 end fraction end exponent close parentheses cubed minus stack 3 sum with straight r equals 1 below and 100 on top open parentheses 2 to the power of straight r divided by 3 end exponent plus 2 to the power of bevelled fraction numerator negative straight r over denominator 3 end fraction end exponent close parentheses plus 1
equals sum from straight r equals 1 to 100 of open parentheses 2 to the power of straight r plus 2 to the power of negative straight r end exponent plus 3 open parentheses 2 to the power of straight r divided by 3 end exponent plus 2 to the power of bevelled fraction numerator negative straight r over denominator 3 end fraction end exponent close parentheses close parentheses minus stack 3 sum with straight r equals 1 below and 100 on top open parentheses 2 to the power of straight r divided by 3 end exponent plus 2 to the power of bevelled fraction numerator negative straight r over denominator 3 end fraction end exponent close parentheses plus 1
equals sum from straight r equals 1 to 100 of open parentheses 2 to the power of straight r plus 2 to the power of negative straight r end exponent close parentheses plus 3 sum from straight r equals 1 to 100 of open parentheses 2 to the power of straight r divided by 3 end exponent plus 2 to the power of bevelled fraction numerator negative straight r over denominator 3 end fraction end exponent close parentheses minus stack 3 sum with straight r equals 1 below and 100 on top open parentheses 2 to the power of straight r divided by 3 end exponent plus 2 to the power of bevelled fraction numerator negative straight r over denominator 3 end fraction end exponent close parentheses plus 1
equals sum from straight r equals 1 to 100 of open parentheses 2 to the power of straight r plus 2 to the power of negative straight r end exponent close parentheses plus 1
equals open square brackets open parentheses 2 to the power of 1 plus 2 squared plus 2 cubed plus.... plus 2 to the power of 100 close parentheses plus open parentheses 2 to the power of negative 1 end exponent plus 2 to the power of negative 2 end exponent plus 2 to the power of negative 3 end exponent plus.... plus 2 to the power of negative 100 end exponent close parentheses close square brackets plus 1
equals open parentheses fraction numerator 2 open parentheses 2 to the power of 100 minus 1 close parentheses over denominator 2 minus 1 end fraction plus fraction numerator 2 to the power of negative 1 end exponent open parentheses 1 minus 2 to the power of negative 100 end exponent close parentheses over denominator 2 to the power of negative 1 end exponent end fraction close parentheses plus 1
equals fraction numerator 2 to the power of 201 minus 1 over denominator 2 to the power of 100 end fraction end style
Answered by Expert 7th December 2017, 2:16 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!
JEE QUESTION ANSWERS

Chat with us on WhatsApp