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Statement-1: 1^(3)+3^(3)+5^(3)+7^(3)+......

Statement-1: `1^(3)+3^(3)+5^(3)+7^(3)+...+(2n-1)^(3)ltn^(4),n in N`
Statement-2: If `a_(1),a_(2),a_(3),…,a_(n)` are n distinct positive real numbers and `mgt1`, then
`(a_(1)^(m)+a_(2)^(m)+...+a_(n)^(m))/(n)gt((a_(1)+a_(2)+...+a_(b))/(n))^(m)`

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Clearly, statement-2 is true. Using this, we have
`(1^(3)+3^(3)+5^(3)+...+(2n-1)^(3))/(n)gt((1+3+5+...+(2n-1))/(n))^(3)`
`implies" "1^(3)+3^(3)+5^(3)+...+(2n-1)^(3)gtn^(4)`
So, statement-1 is false.
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