The minimum value of n for which `(2^(2)+4^(2)+6^(2)+...+(2n)^(2))/(1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)) lt 1.01`A. is 101B. is 121C. is 151D. does not exist

The minimum value of n for which `(2^(2)+4^(2)+6^(2)+...+(2n)^(2))/(1^

1.	The minimum value of n for which `(2^(2)+4^(2)+6^(2)+...+(2n)^(2))/(1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)) lt 1.01`A. is 101B. is 121C. is 151D. does not exist
Answer» Correct Answer - C `x/((2n(2n+1)(4n +1))/(6)-x) lt 1.01` `2.01x lt (1.01) (2n(2n+1)(4n+1))/(6)` `2.01. (4n(n+1)(2n+1))/(6) lt (1.01) (2n(2n+1)(4n+1))/(6)` `2.01/1.01 lt (4n+1)/(2n+2) rArr n gt 150.5`

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The minimum value of n for which `(2^(2)+4^(2)+6^(2)+...+(2n)^(2))/(1^(2)+3^(2)+5^(2)+...+(2n-1)^(2)) lt 1.01`A. is 101B. is 121C. is 151D. does not exist

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