# trig

find all sets of three consecutive odd integers whose sum is greater than 54 and less than 63

1. 👍 0
2. 👎 0
3. 👁 401
1. The sum of three consecutive odd integers is
S(n)=(n-2) + n + (n+2) = 3n
So 54<S(n)<63, or
54 < 3n < 63
Divide all by 3 to get
18 < n < 21
Solve for all valid (integer) value of n.
Each value of n relates to the set of integers {n-2, n, n+2} that satisfies the specified requirements.

1. 👍 0
2. 👎 0
2. how do you get n-2, n, n+2 I keep getting n, n+2 and n+4?

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

The product of two consecutive odd integers is 35. Find the integers

2. ### Math

A series of 288 consecutive odd integers has a non-zero sum that is a perfect fourth power. Find the smallest possible sum for this series.

The sum of three consecutive odd integers is 51. What are the integers?

4. ### Algebra

Find three consecutive odd integers such that the sum of 4 times the largest is -191

1. ### algebra

write a polynomial that represents the sum off an odd integers 2n+1 and the next two consecutive odd integers

2. ### Algebra

The sum of two consecutive odd integers is 56. A. Define a variable for the smaller integer. B. What must you add to an odd integer to get the next greater odd integer? C. Write an expression for the second integer. D. Write and

3. ### 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?

4. ### math

The sum of 4 consecutive odd integers is -104. Find the integers with x for unknown numbers.

1. ### Math

Find three consecutive odd integers such that four times the middle integer is two more than the sum of the first and third.

2. ### algebra

Find four consecutive odd integers so that five times the sum of the first and third integers excceeds four times the sum of the second and last integers by 14.

3. ### Mathematics

A class writes the equation n+n+1+n+2=87 to solve the following problem. The sum of 3 consecutive odd integers is 87. Find the three integers. What error did they make? I don't know where to start. I'm confused, I need help!!!