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Video] For any real number x, let [x] be the largest integer less than or equal to x. If \\sum_{n=1}^N \\left[\\frac{1}{5} + \\frac{n}{25}\\right] = 25 then N is - - CAT 2022

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Let [x] denote the greatest integer part of a real number x, if M= sum_(n=1 )^(40)[(n^(2))/(2)] t

Prove that if x is a real number, then ⌊−x⌋ = −⌈x⌉ and ⌈−x⌉

How to prove floor (floor(x/2) /2) =floor (x/4) where x is any real number - Quora

If [x] denotes the greatest integer less than or equal to x, then `Lt_(n- gtoo) ([1^5 x]+[2^5

Greatest Integer Function - GeeksforGeeks

Solved 5. Suppose n is an integer greater than 1. If X is a

Let f:RR be a defined by f(x) = left{begin{array}{ll} [x], space x leq 2 0, space x > 0 end{array} right. where [x] denotes the greatest integer than or equal to x.

Fibonacci sequence - Wikipedia

How to prove that summation 1/(n+1) (n+2) =1 - Quora

How to Sum the Integers from 1 to N: 8 Steps (with Pictures)

How to solve this equation [math] rac{1}{x}+ x = rac{13}{6}[/math] - Quora

How to prove by mathematical induction, when n is a positive integer that 1 + 4 + 7 + 10 + … + (3n – 2) = n (3n – 1) /2 - Quora

Show that if x is a real number, then ⌈x⌉ − ⌊x⌋ = 1 if x is