answersLogoWhite

0


Best Answer

In 100 numbers you can select 50 all odd or 50 all even and there will be no consecutive pair. Picking another number must be of the opposite parity and so consecutive with one of your first 50.

User Avatar

Wiki User

2010-03-20 14:55:01
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

➡️
See all cards
3.8
2560 Reviews

Add your answer:

Earn +20 pts
Q: Show that if we select 51 distinct numbers from 1 to 100 at least two are consecutive numbers.?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

The sum of 3 consecutive numbers is 600 what is the least of these 3 numbers?

The least of the three numbers is 199.


What is the Least Common Multiple of two consecutive numbers that are greater than 200 and are a multiple of 7?

Consecutive numbers can't both be multiples of 7. The LCM of consecutive numbers is their product. 14 and 15 are consecutive numbers whose LCM is a multiple of 7 that is greater than 200.


The least common multiple of two consecutive numbers that are greater than 100 and are multiples of 5 What are these numbers?

The LCM of two consecutive numbers is their product. The LCM of two consecutive multiples of 5 is their product divided by 5. Two consecutive numbers cannot be multiples of 5.


Can two consecutive numbers be even. Why or Why not?

No, because every other number in the number line is odd so therefore if you have any number of consecutive numbers you will have at least one odd number (if you're talking about consecutive numbers on a number line).


The sum of three consecutive even integers is 84 What is the least of these numbers?

The least of the three integers is 26.


Will the product of 3 consecutive numbers always be even?

Yes because at least one of the consecutive numbers will be even, and if you times anything by an even number, the answer will always be even


Can 3 consecutive whole numbers be primes?

No. Any three consecutive numbers will have at least one of them which is divisible by 2, which means it cannot be prime. And since 1 is not considered a prime number, it cannot happen.


What is the ones digit of the product of 5 consecutive natural numbers?

Zero. Any five consecutive natural numbers will contain at least one multiple of 2 and at least one multiple of 5, meaning that the product will be a multiple of 10.


How many consecutive numbers do you need to guarantee that one of the numbers is divisible by 6?

Every sixth number will be a multiple of 6, so you need at least six consecutive numbers to guarantee that one of them will be divisible by 6.


What is the least common multiple of 27 and 28?

Least common multiple of two consecutive numbers is always equal to their product. Since 27 & 28 are consecutive numbers, therefore LCM(27, 28) = 27 x 28 = 756.


What pair of numbers has a least common multiple of 30?

Select ALL pairs of numbers that have a least common multiple of 30


How do you calculate the least common multiple of 2 consecutive numbers that is greater than 200 and a multiple of 7?

Consecutive numbers wouldn't both be multiples of 7. If you mean consecutive multiples of 7, the LCM of 210 and 217 is 6510 which is their product divided by 7.

People also asked