A  leaf  is  torn  from  a  paperback  novel. The  sum  of  the  numbers  on  the  remaining  pages  is 15000.  What are the page numbers on the torn leaf ?

2 years ago

Share

Answers : (1)

                                        Hello student,
Please find the answer to your question below
The sum of the numbers form an arithmetic progression.
So, assuming the number of pages is n, the first is number 1. And number missing are p and p+1 (a leaf is torn so two page numbers missing).
Then Sum of all pages= n/2 (2+n-1) {using the formula of sum of AP with a=1}
The Sum of remaining pages =15000=n/2(2+n-1)-p-(p+1);
=> 15000= n+n^2/2-n/2-2p-1
=> 15000=n^2/2+n/2-2p-1
=>14999*2=n^2+n-4p
=>4p=n^2+n-14999*2
=>p=(n^2+n-14999*2)*0.25
=>p=(n(n+1)-14999*2)*0.25
Thus knowing the total number of pages you can determine p and p+1 numerically.
18 days ago

Post Your Answer

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
a =Log 12 18, b=log 24 54 find the value of ab+5(a-b)
 
 
Hello student, Please find the answer to your question below a=log 12 18 b=log 24 54 let x=18 and y=12 so log x=log(2*3 2 )=log 2+2log3 similarly log y=2log2+log3 so a=logx/logy ;...
  img
SHAIK AASIF AHAMED one month ago
if the sum of the series 1+ 2/x + 4/x^2 + 8/x^3 +...... infinity is a finite number then (a) x (b) x>1/2 (c) x>-2 (d) x2
 
 
Hello student, Please find the answer to your question below The given series can be written as 1+ 2/x + 4/x^2 + 8/x^3 +......=(1-(2/x)) -1 where r=2/x For a series to be finite |r|<1 so...
  img
SHAIK AASIF AHAMED 8 days ago
 
1+ 2/x + 4/x^2 + 8/x^3 +...... is sum of terms in GP where r = 2/x. The sum is finite if |r| |2/x| |x| > 2 => x 2 Ans: x 2
 
Y RAJYALAKSHMI 8 days ago
If 0 (aplha) =(beta) (alpha) >1 (beta)>1 none of these , ( ) = modulus
 
 
Hello student, Please find my response to your question below: Iam not able to interpret your query. Your question is not clear and seems to be incomplete. Please check the question and...
  img
SHAIK AASIF AHAMED one month ago
View all Questions »