Q:
# What is the sum of the first 100 odd numbers?

A:
### Quick Answer

**The sum of the first 100 odd numbers is 10,000.** There are 100 odd numbers between 1 and 199, and each pair from the start and end of the sequence (e.g. 1 and 199, 3 and 197, etc.) adds up to 200. Multiplying 50 times 200 equals 10,000.

Credit:
Tetra Images
Getty Images

Odd numbers are defined by their parity, which is the property that makes every integer either even or odd. All odd numbers have a parity of 1, while all even numbers have a parity of 2. Any set of odd numbers can be found by using odd = {2k + 1 : k therefore Z}.

Learn more about Arithmetic-
Q:
## What is the formula for arithmetic mean?

A:

Full Answer >**The formula for the arithmetic mean of a group of numbers is A = S/N, where S represents the sum of all the numbers in the group, and N represents the total number of items in the group.**Finding the arithmetic mean is essentially the same as taking the average.Filed Under: -
Q:
## What does "sum" mean in math?

A:In mathematics, adding numbers, items or amounts produces a sum. The word also refers to a group of arithmetic problems given as a classroom assignment. As a verb, to sum is to find the total of added amounts.

Full Answer >Filed Under: -
Q:
## How do you calculate the sum of an arithmetic sequence?

A:Calculate the sum of an arithmetic sequence with the formula (n/2)(2a + (n-1)d). The sum is represented by the Greek letter sigma, while the variable a is the first value of the sequence, d is the difference between values in the sequence, and n is the number of terms in the series.

Full Answer >Filed Under: -
Q:
## What is the divisibility rule for 9?

A:

Full Answer >**A number is divisible by 9 if and only if the sum of its digits is divisible by 9.**If a number is divisible by 9, it is also divisible by 3 because 9 is a dividend of 3.Filed Under: