answersLogoWhite

0

To find the sum of all even numbers from 2 through 200, we can use the formula for the sum of an arithmetic series. Since the sequence is an arithmetic sequence with a common difference of 2, we can calculate the number of terms using the formula ((last term - first term) / common difference) + 1. In this case, the first term is 2, the last term is 200, and the common difference is 2. Plugging these values into the formula gives us ((200 - 2) / 2) + 1 = 100. The sum of an arithmetic series is given by the formula n/2 * (first term + last term), so the sum of all even numbers from 2 through 200 is 100/2 * (2 + 200) = 10100.

User Avatar

ProfBot

6mo ago

Still curious? Ask our experts.

Chat with our AI personalities

ProfessorProfessor
I will give you the most educated answer.
Chat with Professor
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
LaoLao
The path is yours to walk; I am only here to hold up a mirror.
Chat with Lao
More answers

The sum of all even numbers from 2 through 200 is 40,200.

User Avatar

Wiki User

10y ago
User Avatar

2 + 4 + 6 + ... + 198 + 200 = 10100

User Avatar

Wiki User

14y ago
User Avatar

Add your answer:

Earn +20 pts
Q: What is the sum of all the even numbers from 2 through 200?
Write your answer...
Submit
Still have questions?
magnify glass
imp