# math

how do i solve the sum of the first n even positive integers is h. the of the first n odd positive integers is k. determine the value of h-k, in terms of n

1. 👍
2. 👎
3. 👁
1. for n = 3
h = 2+4+6 = 12
k = 1+3+5 = 9
-------------- subtract
h-k 1+1+1 = 3

h - k = 3 for n = 3
In fact you get one more for every increase of n by 1
so
ah ha
h-k = n

1. 👍
2. 👎

## Similar Questions

1. ### Math

2. The sum of the reciprocals of two consecutive positive integers is 17/72. Write an equation that can be used to find the two integers. What are the integers? Steve helped me yesterday and gave me the hint 8+9=17. Then I thought

2. ### Math

the product of two consecutive positive even integers is 14 more than their sum .set up an equation that can be used to find the two numbers and solve it

3. ### Algebra II

The sum of the reciprocals of two consecutive positive integers is 17/12. Write an equation that can be used to find the two integers. What are the integers?

4. ### Math

The sum of 11 consecutive positive integers is 2002. What is the greatest of these 11 integers? *************************************** I truly appreciate the time and effort that you all give answering our questions and taking

1. ### math

Which statement is true? A.The sum of two positive integers is sometimes positive, sometimes negative. B.The sum of two negative integers is always negative. C.The sum of a positive integer and a negative integer is always

2. ### smallest of 3 integers

The sum of the reciprocals of three consecutive positive integers is equal to 47 divided by the product of the integers. What is the smallest of the three integers?

3. ### math

The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 417. Find the integers

4. ### Math

find three consecutive positive odd integers such that the sum of the squares of the first and second integers is equal to the square of the third integer minus 7?

1. ### algebra

Find two consecutive positive integers such that the sum of their squares is 85. n^2+(n+1)^2+2n = 85 n^2+n^2+2n+1=85 2n^2+2n=84 n^2+n=42 n^2+n-42=0 (n-6)(n+7)=0 n=6 n=-7 Is my work and answer correct? -7 is not a positive integer.

2. ### math help

the sum of three consecutive odd integers is 435. What is the largest of the three integers??how do I solve this problem?? Please help

3. ### discrete math

1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive? For

4. ### Maths

The sum of the squares of three consecutive positive integers is 365 What are these integers? Please write this problem in quadratic equation form please