Question:medium
Given that, $1^2 + 3^2 + 5^2 + 7^2 + 9^2 = 165$, then what is the value of $3^2 + 9^2 + 15^2 + 21^2 + 27^2$?
Given that, $1^2 + 3^2 + 5^2 + 7^2 + 9^2 = 165$, then what is the value of $3^2 + 9^2 + 15^2 + 21^2 + 27^2$?
Show Hint
If each term is multiplied by a constant $k$, then:
\[
(kx)^2 = k^2 x^2
\]
So factor out $k^2$ from the entire sum.
Updated On: Apr 1, 2026
- \(1485 \)
- \(1385 \)
- \(990 \)
- \(495 \)
- \(995 \)
Show Solution
The Correct Option is A
Solution and Explanation
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