How to Add Consecutive Integers from 1 to 100

There are a few different methods you could use to add consecutive integers from 1 to 100. Here are three possible approaches:

1. Use the formula for the sum of an arithmetic series: The sum of the first n positive integers can be found using the formula: sum = n * (n + 1) / 2 For the sum of integers from 1 to 100, we have n = 100, so we can plug this into the formula and get: sum = 100 * (100 + 1) / 2 sum = 50 * 101 sum = 5050

2. Use a loop in a programming language: If you're comfortable with programming, you could use a loop to add the numbers together. Here's an example in Python: sum = 0 for i in range(1, 101):

   sum += i

print(sum)

This will output 5050, which is the sum of the consecutive integers from 1 to 100.

3. Add the numbers manually: If you prefer to do things by hand, you can simply add the numbers together one by one. You might find it helpful to group the numbers into pairs (e.g. 1 + 100, 2 + 99, 3 + 98, etc.) to make the process go faster. Here's what the first few pairs would look like: 1 + 100 = 101 2 + 99 = 101 3 + 98 = 101 4 + 97 = 101 ... 50 + 51 = 101

Notice that each pair adds up to 101, and there are 50 pairs in total. So we can simply multiply 101 by 50 to get the sum: sum = 101 * 50 sum = 5050

So there you have it - three different ways to find the sum of consecutive integers from 1 to 100!