# math - integers

posted by .

The sum of 25 consecutive integers is 1000. What is the smallest integer used as an addendum?

• math - integers -

let the first term be a
clearly d = 1
sum(n) = (n/2)(2a + (n-1)d)
1000 = (25/2)(2a + 24(1))
2000 = 25(2a + 24)
2000= 50a + 600
50a = 1400
a = 1400/50 = 28

check:
sum(25) = (25/2)( 56 + 24)
= 12.5(80) = 1000

## Similar Questions

1. ### math

i don't get this question consecutive integers are integers that differ by one. you can represent consecutive integers as x,x+1,x+2 and so on. write an equation and solve to find 3 consecutive integers whose sum is 33
2. ### Math

The sum of 25 consecutive integers is 1000. What is the smallest integer used as an addend.
3. ### 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?
4. ### math

there are three consecutive positive integers such that the sum of the squares of the smallest two is 221. write and equation to find the three consecutive positive integers let x= the smallest integer
5. ### math

the sum of the reciprocals of 3 consecutive positive integers is 47 divided by the product of the integers. what is the smallest of the 3 integers
6. ### math

A. Four times one odd integer is 14 less than three times the next even integer. Find the integers. B. The average of four consecutive odd integers is 16. Find the largest integer. C. When the sum of three consecutive integers is divided …
7. ### math

1. The largest of five consecutive integers is twice the smallest. Find the smallest integer. 2. When the sum of three consecutive integers is divided by 9 the result is 7. Find the three integers. 3. If each of three consecutive integers …
8. ### math

What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?
9. ### math

What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?
10. ### math

What is the smallest of three consecutive integers if the sum of the smaller two integers is equal to 177 less than four times the largest?

More Similar Questions