WebConsider the following two statements : Statement 1 : The variance of first n even natural numbers is n2 1/4.Statement 2 : The sum of first n natural number is nn+1/2 and the sum of the squares of first n natural numbers is nn+12n+1/6.Then which of one of the following choices is correct? Byju's Answer Standard XII Mathematics WebFeb 6, 2012 · The sum of the first 50 natural numbers is 1,251. The variance of first n natural numbers is? 1 Sum of first n natural numbers = n(n+1)2[Formula.]2 Arthmetic mean of first n natural numbers = Sum of the numbers n[Formula.]3 = n(n+1)2n = n+124 So, the Arthmetic mean of first n natural numbers = n+12.

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WebApr 19, 2024 · If the sum of first n even natural numbers is equal to k times the sum of first n odd natural numbers, then write the value of k. asked Jul 16, 2024 in Algebra by Vaiga ( 49.0k points) sequences and series WebQuestion The variance of first 50 even natural numbers is A 4833 B 833 C 437 D 4437 Hard Solution Verified by Toppr Correct option is B) Was this answer helpful? 0 0 Similar … is hector helmet plastic

The variance of first $50$ even natural numbers is - Collegedunia

WebFeb 1, 2014 · 9. I don't know if you would call this efficient, but one simple way to calculate it is the following: Let f ( n) = LCM { 1, 2, 3.., n }. Then. f ( n + 1) = { f ( n) ⋅ p if n + 1 = p k f ( n) otherwise. This is a simple recursive formula, which tells you that all you have to do is check if the integer is a power of primes. WebThe variance of first 50 even natural numbers is 8334 833 437 4374 Here ¯X=∑Xin=2+4+6+8+⋯+10050=50×5150=51[∵ ∑2n=nn+1 here n=50]Variance … WebMar 25, 2024 · Find the mean of the numbers and the value of ∑ x i 2 to find the variance. Complete step-by-step answer: Even natural numbers are ⇒ 2, 4, 6, 8, … …, 98, 100 The … is hector a girl name