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

the coefficient of x^15 in the product of(1-x)(1-2x)(1-2^2x)...(1-2^15x) is.........? plz give some hints also

the coefficient of x^15 in the product of(1-x)(1-2x)(1-2^2x)...(1-2^15x) is.........?


plz give some hints also

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear nishant

given question is a product of 16 brackets

and you can find  x15 only when x from 15 bracket is multiplied and constant term from 1 bracket.

so just multiply  

coefficient of x15 is  =-2 1+2+3.....+15   -2 0+2+3+.....15  ..................-2 0+1+2+3...+14

                                  =-21+2+3.....+15 [1 +1/2 +1/22 +........1/215]

                             =-2120[2-1/215]

                              =-2121 +2105

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.
 We are all IITians and here to help you in your IIT JEE  & AIEEE preparation.

 All the best.
 
Regards,
Askiitians Experts
Badiuddin

 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free