Question
Question 14 (1 point) Saved Evaluate 2^2+4^2+6^2+8^2ldots +50^2 infty 22000 22100 A 21100 21000
Solution
4.4
(284 Votes)
Brianna
Veteran ยท Tutor for 12 years
Answer
The given expression is the sum of the squares of even numbers from 2 to 50. We can write this as:
We know the formula for the sum of the first
squares is:
In our case,
. So,
Now, multiply by 4:
So, the sum is 22100.Final Answer: The final answer is