Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers. Consecutive Even Numbers:Even numbers are numbers that end with 0, 2, 4, 6 or 8. The examples of consecutive even numbers are:0, 2, 4, 6, 8, 10, 12, …. Consecutive Odd Numbers:Odd numbers are numbers that end with 1, 3, 5, 7 or 9. The examples of consecutive odd numbers are:1, 3, 5, 7, 9, 11, 13, 15, …. Consecutive Even and Odd Integers:We can also have consecutive even and odd integers. Example: Consecutive Even Integers: – 8, –6, –4, –2, 0, 2, 4, 6, ….. Example: Consecutive Odd Integers: –9, –7, –5, –3, –1, 1, 3, 5, 7, ….The term consecutive numbers is often used to frame word problems. Example: The sum of two consecutive numbers is 55. What are the numbers? Here, let the first number be a. Since the numbers are consecutive, the other number will be a + 1 We now form an equation as per the given information: Sum of the numbers = 55 = a + a + 1 We should choose the numbers such that their sum is 55. 26 is nearly half of 55. Let the two number be 26 and 27; 26 + 27 = 53 ✘ So, the two numbers are not 26 and 27. Let us choose the next number, 28. So, the two numbers are 27 and 28. 27 + 28 = 55 ✓Therefore, the numbers are 27 and 28. Example: The product of two consecutive odd numbers is 143. What are the numbers? We should choose the numbers whose product is nearly 143. We know that 12 × 12 = 144 But, 12 is an even number. Consecutive odd numbers near 12 are 11 and 13. Let us find their product; 11 × 13 = 143 ✓Therefore, the numbers are 11 and 13.
You can put this solution on YOUR website! n+n+1+n+2+n+3+n+4=40 5n+10=40 5n=30 n=6 the smallest is 6 6,7,8,9,10 |