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Old 05-20-2008, 06:19 PM   #3 (permalink)
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Quote:
Originally Posted by skawal View Post
S=1-(1/2)+(1/3)-(1/4)+(1/5)-(1/6)+(1/7)-(1/8)+(1/9)-(1/10)
S=(1/2)+(1/3)-(1/4)+(1/5)-(1/6)+(1/7)-(1/8)+(1/9)-(1/10)
S=(1/2)[1+1/2 +1/3 +1/4 +1/5] +1/3 +1/5 +1/7+1/9
Confusing where did minus signs go?

Quote:
Originally Posted by skawal View Post

for the first problem
1+2+3+4+5..........+47+48 separate it with the sum of the even integers and the odd integers.then we get

2+4+............+48 and 1+3+................47

no.of terms is = (24-1)+1=24 for both the cases.

sum of the even integers= [2*2 +(24-1)2]*24/2=300=V
sum of the even integers= [2*1 +(24-1)2]*24/2=288=D

so we can see that D+23 is greater than V.
Sum of even and odd integers is wrong,
Correct values are:
V = 600
D = 576

D + 23 = 599

V is greater

Quote:
Originally Posted by skawal View Post
For the last problem
72.42=k(24+ n/100) from the problem if k and n are positive integers and n is less than 100 you can easily make an assumption that k must me a number which is 3 to make balance of the equation that means 3*24 is equal to 72 and 3*(n/100) will give you .42

3*(n/100)=.42
so,n=14

so,k+n=14+3=17.
Correct
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