Dit is bekend dat vir alle heelgetalle n 1 +23 +3 +43 ++ (n-1) +n (a)...

 

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Dit is bekend dat vir alle heelgetalle n 1³ +23 +3³ +43 ++ (n-1)³ +n³ (a) Gebruik 'n for-loop. b) Gebruik MATLAB se ingeboude funksie sum. (c) Dit is ook bekend dat It is known that for all integers n n²(n + 1)² (I) 1²-2² +32-42+(-1)"(n-1)² + (-1)"+¹n² Bevestig dat beide hierdie identiteite korrek is vir n = 100. Bereken in elke geval die numeriese waardes van die linker en regterkante, en vertoon sy-aan-sy. Gebruik die volgende metodes om die reekse links te sommeer: 1 1 + + + ++ 22 3² 42 waar die simbool nie gelykheid aandui nie, maar 'n benadering wat beter word hoe groter die waarde van n. Toets hoe goed hierdie benadering is vir n = 100 deur die som links te bereken met die metode van deel (b). Vertoon linker en regterkante sy-aan-sy (gebruik format long). = (-1)"+¹n(n+1) (II) Confirm that both of these identities are correct for n 100. Compute the numerical values of the left and right sides in each case, and display side-by- side. Use the following methods to sum the series on the left: = (a) Use a for-loop. (b) Use MATLAB's built-in function sum. (c) It is also known that 1 n² 6 where the symbol does not denote equality, but an approximation that gets better as n increases. Check how good this approximation is for n = 100, by computing the sum on the left with the method of part (b). Display left and right sides side-by-side (use format long). n Dit is bekend dat vir alle heelgetalle n 1³ +23 +3³ +43 ++ (n-1)³ +n³ (a) Gebruik 'n for-loop. b) Gebruik MATLAB se ingeboude funksie sum. (c) Dit is ook bekend dat It is known that for all integers n n²(n + 1)² (I) 1²-2² +32-42+(-1)"(n-1)² + (-1)"+¹n² Bevestig dat beide hierdie identiteite korrek is vir n = 100. Bereken in elke geval die numeriese waardes van die linker en regterkante, en vertoon sy-aan-sy. Gebruik die volgende metodes om die reekse links te sommeer: 1 1 + + + ++ 22 3² 42 waar die simbool nie gelykheid aandui nie, maar 'n benadering wat beter word hoe groter die waarde van n. Toets hoe goed hierdie benadering is vir n = 100 deur die som links te bereken met die metode van deel (b). Vertoon linker en regterkante sy-aan-sy (gebruik format long). = (-1)"+¹n(n+1) (II) Confirm that both of these identities are correct for n 100. Compute the numerical values of the left and right sides in each case, and display side-by- side. Use the following methods to sum the series on the left: = (a) Use a for-loop. (b) Use MATLAB's built-in function sum. (c) It is also known that 1 n² 6 where the symbol does not denote equality, but an approximation that gets better as n increases. Check how good this approximation is for n = 100, by computing the sum on the left with the method of part (b). Display left and right sides side-by-side (use format long). n

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Matlab script to confirm 3 identities by calculating and displaying the values of the left and right ... View the full answer