Question

In how many different ways can the number 45 can be written as the sum of consecutive natural numbers?

Answer 1

There are five ways wherein 45 can be written as the sum of consecutive natural numbers.

Hope this helps

Answer 2

Concept

Consecutive numbers are numbers that follow one another in order. Every two numbers have a difference of 1. In a set of consecutive numbers, the mean and median are equal. If n is a number, then n, n+1 and n+2 will be consecutive numbers.

The natural numbers are part of the number system, including all positive numbers from 1 to infinity. Natural numbers are also called counting numbers because they do not contain zero or negative numbers. They are part of the real numbers, containing only positive integers, but not zero, fractions, decimals, and negative numbers.

Given

The number 45 is given

Find

We need to find the number of ways in which the number 45 can be written as the sum of consecutive natural numbers.

Solution

The total number of ways in which the number 45 can be written as the sum of consecutive natural numbers is 5

They are:

22 23,

14 15 16,

7 8 9 10 11,

5 6 7 8 9 10.

Hence there are total 5 ways

#SPJ6

there are 5 ways that 45 can be written as a sum of consecutive integers. They are: 22 23, 14 15 16, 7 8 9 10 11, and 5 6 7 8 9 10.