Question
Download Solution PDFFind the sum of the series 22 + 42 + 62 + .... + (2n)2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Sum of the squares of first n natural numbers is given by:
Calculation:
Let Tn be the nth term of the series. Then,
Tn = (2n)2 = 4n2
∴ 22 + 42 + 62 + .... + (2n)2 =
Hence, the sum of the series 22 + 42 + 62 + .... + (2n)2 is
Last updated on Jun 20, 2025
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