Write a function so that, when given a natural number N, the function returns the value max n ∈ N : 12 + 22 + · · · + n 2 ≤ N

Question

Vin Sen Lee 2016-1-17

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https://ww2.mathworks.cn/matlabcentral/answers/264043-write-a-function-so-that-when-given-a-natural-number-n-the-function-returns-the-value-max-n-n

评论： Torsten 2022-10-20

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TIanhang Hu 2017-1-22

n2 simply means n^2, how can it be not clear...

Walter Roberson 2017-1-22

So the question is about finding the largest n such that the sum of squares of 1 to n is less than or equal to the original number? Hmmm, plausibly.

It would have been easy enough for the poster to have clarified that when asked a year ago.

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Answer 1

Andrei Bobrov 2016-1-17

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在 MATLAB Online 中打开

your_function = @(n,m,N)sum((n+m):n:N);

use

>> n = 10;
m = 2;
N = 90;
>> your_function(n,m,N)
ans =
   376
>>

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Vin Sen Lee 2016-1-17

i m sorry. could you please explain the steps.

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Answer 2

Torsten 2016-1-18

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n=floor((-7+sqrt(20*N+49))/10);

Best wishes

Torsten.

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Answer 3

Rusty 2016-1-17

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在 MATLAB Online 中打开

function [ p ] = rusty( N)
a(1)=12;
i=1;
while sum(a(:))<=N
a(i+1)=a(i)+10;
i=i+1;
end
if sum(a(:))>N
a(end)=[];
end
if isempty(a)
    disp('N is less than 12');
    return
else
p=(a(end)-2)/10
end

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Walter Roberson 2016-1-17

http://www.mathworks.com/matlabcentral/answers/8026-best-way-s-to-master-matlab

Rusty 2016-1-18

you just go and save this file. now open the command window and write : rusty(36), if N=36, and you will get the answer

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Answer 4

Márcio 2022-10-20

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Write a function that for a given natural number nn returns the matrix which has 2 rows, in its first row every entry is 1, while in its second row there are the numbers n,n−1,…,1n,n−1,…,1 (in this order).

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Torsten 2022-10-20

在 MATLAB Online 中打开

N = 3624;
v = N:-1:1;
A = [ones(1,2*N);[v,v]]
A = 2×7248
           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1           1
        3624        3623        3622        3621        3620        3619        3618        3617        3616        3615        3614        3613        3612        3611        3610        3609        3608        3607        3606        3605        3604        3603        3602        3601        3600        3599        3598        3597        3596        3595