36
10
Just try it out!
Adding consecutive odd numbers
To find the whole numbers less than 100 that are 10 greater than an odd whole number, we start by identifying the odd whole numbers less than 90 (since 90 + 10 = 100). The odd whole numbers in this range are 1, 3, 5, ..., 89. For each of these odd numbers, adding 10 gives us the corresponding whole numbers: 11, 13, 15, ..., 99. Thus, the whole numbers less than 100 that meet the criteria are all the odd numbers from 11 to 99.
1, 3, 5, 7, 9, 11 and just keep adding 2 until you get to 99.
This equals to the even number 12.
10
Just try it out!
Adding consecutive odd numbers
1 + 3 + 5 + 7 + 9 + 11 = 36
1+3+5+7+9+11 = 36
2 + 3 = 5 2 + 5 = 7 2+ 11 = 13 2 + 41 = 43 The numbers only work with 2 because adding odd numbers together equals an even number. 2 is the only even prime number and thus adding any other prime numbers together will not equal a prime.
1, 3, 5, 7, 9, 11 and keep adding two until you get to 999.
1, 3, 5, 7, 9, 11 and just keep adding 2 until you get to 99.
1, 3, 5, 7, 9, 11 and just keep adding 2 until you get to 99.
You can work this out by realizing that the sum of the first x odd numbers is equal to x2.Consider the following examples:The first three odd numbers: 1 + 3 + 5 = 9The first five odd numbers: 1 + 3 + 5 + 7 + 9 = 25The first ten odd numbers: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 100In each case, the number of odds you're adding together is the square root of their sum. This means that the first 1500 consecutive odd numbers have a sum of 15002, which equals 2250000, or two and a quarter million.
To find the whole numbers less than 100 that are 10 greater than an odd whole number, we start by identifying the odd whole numbers less than 90 (since 90 + 10 = 100). The odd whole numbers in this range are 1, 3, 5, ..., 89. For each of these odd numbers, adding 10 gives us the corresponding whole numbers: 11, 13, 15, ..., 99. Thus, the whole numbers less than 100 that meet the criteria are all the odd numbers from 11 to 99.