Welcome to my article How to solve 1^3+2^3+3^3+4^3+5^3 to 200^3 formula calculator. This question is taken from the simplification lesson.
The solution of this question has been explained in a very simple way by a well-known teacher by doing addition, subtraction, and fractions.
For complete information on how to solve this question How to solve 1^3+2^3+3^3+4^3+5^3 to 200^3 formula calculator, read and understand it carefully till the end.
Let us know how to solve this question How to solve 1^3+2^3+3^3+4^3+5^3 to 200^3 formula calculator.
First write the question on the page of the notebook.
How to solve 1^3+2^3+3^3+4^3+5^3 to 200^3 formula calculator
To know the solution of this article, first of all, according to your understanding, we will write this question in such a way.
\displaystyle {{1}^{3}}+{{2}^{3}}+{{3}^{3}}+{{4}^{3}}+{{5}^{3}}+……+{{200}^{3}}By understanding this question, we come to know that it is going on according to a chain. Therefore, we will solve this question with the help of the following formula.
FORMULA :
\displaystyle \mathop{S}_{n}={{\left( {\frac{{n(n+1)}}{2}} \right)}^{2}}
here ,
n = 200
putting the value of n in this formula-
\displaystyle \mathop{S}_{{200}}={{\left( {\frac{{200(200+1)}}{2}} \right)}^{2}} \displaystyle \mathop{S}_{{200}}={{\left( {\frac{{200(201)}}{2}} \right)}^{2}} \displaystyle \mathop{S}_{{200}}={{\left( {\frac{{\cancel{2}\times 100(201)}}{{\cancel{2}}}} \right)}^{2}} \displaystyle \mathop{S}_{{200}}={{\left( {100(201)} \right)}^{2}} \displaystyle \mathop{S}_{{200}}={{\left( {20100} \right)}^{2}} \displaystyle \mathop{S}_{{200}}=404010000\displaystyle \mathop{S}_{{200}}=404010000 [Answer]
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