Wednesday

November 26, 2014

November 26, 2014

Posted by **Elle** on Tuesday, January 20, 2009 at 3:33pm.

1/2 < n/n+1 < 99/101

I don't know how to solve this besides plugging in random numbers, which would take all day. Any other suggestions for a faster way to solve it?

Thank you!

- Another algebra -
**drwls**, Tuesday, January 20, 2009 at 4:44pmThe smallest number that satisfies

1/2 < (n/n+1) is 2/3

The largest number that satisfies

n/(n+1) < 99/101 is 49/50.

Here's proof of that:

49/50 = 0.980000

99/101 = 0.980198

50/51 = 0.98039

So all n/(n+1) numbers in the series

2/3, 3/4, 4/5 ... 49/50 satisfy the inequality.

There are therefore 48 numbers n that satisfy the condition.

**Answer this Question**

**Related Questions**

Math - A toothpaste company did a survey at the mall. They found that 42.5% of ...

Algebra - Joe picks 2 distinct numbers from the set of the first 14 positive ...

geometry!!! please help me!!!! - Determine the least positive integer n for ...

Algebra/Number Theory - In a sequence of four positive numbers, the first three ...

maths - x and y are positive real numbers that satisfy logxy+logyx=174 and xy=...

maths~ - x and y are positive real numbers that satisfy logxy+logyx=174 and xy=...

maths - x and y are positive real numbers that satisfy logxy+logyx=174 and xy=...

Math (algebra) - Let x,y be complex numbers satisfying x+y=a xy=b, where a and b...

math - what three positive integers a, b, and c satisfy a^n+b^n=c^n, where n is ...

math - The sum of 5 consecutive integers is 1,000. What is the value of the ...