Question
Download Solution PDFFind the average of squares of consecutive even numbers from 1 to 20?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The average of squares of consecutive even numbers from 1 to 20
Formula Used:
The average of squares of consecutive even numbers from 1 to 20 we will follow the following steps:
As we know,
Even numbers from 1 to 20 are 2,4,6,8,10,12,14,16,18
Now,
Square of even number =
2²= 4, 4²= 16, 6²= 36, 8² = 64, 10² = 100, 122 = 144 , 142 = 196, 162 = 256,
182 = 324 , 202 = 400
Now,
Sum of squares of consecutive even numbers
⇒ 4 + 16 + 36 + 64 + 100 + 144 + 196 + 256 + 324 +400 = 1540
The average Sum of squares of consecutive even numbers is
⇒ 1540 / 10 = 154
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