# The sum of 2 consecutive even integers is at most 400. What are the numbers?

The largest pair of consecutive integers are 198 and 200.

If the sum of two equal even numbers is 400, the numbers will be 200+200. Therefore the largest possible consecutive even numbers which have a sum of 400 or less are 198 and 200 which have a sum of 398.

Any pair of consecutive numbers less than these will have a sum of less than 400.

By signing up, you agree to our Terms of Service and Privacy Policy

Let ( n ) be the smaller even integer. Then, the next consecutive even integer is ( n + 2 ). Their sum is ( n + (n + 2) = 2n + 2 ). We want this sum to be at most 400, so:

[ 2n + 2 \leq 400 ] [ 2n \leq 398 ] [ n \leq 199 ]

So, the smaller even integer can be at most 199. The larger even integer would be ( n + 2 ), which is at most ( 199 + 2 = 201 ). Therefore, the possible even integers are from 2 to 201.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A class of 19 pupils has five more girls than boys. Let #n# the number of boys. What would be the equation that expresses the total number of students?
- What is the domain of #f(x)=(x+6)/(x^2+5) #?
- What is the algebraic expression for the sum of three consecutive integer?
- How do you evaluate #2x^2 - 2z^4 + y^2 - x^2 + z^4# if #x = -4, y = 3, and z = 2#?
- How do you find the domain and range of #f(x) = 7 / (2x-10)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7