Can calculus be used to solve the summation of sequence in high school mathematics Common methods for finding general term of sequence Observation, induction, formula, accumulation, accumulation and multiplication The common methods of summation are as follows Formula method splitting term summation splitting term summation dislocation subtraction Can we use the calculus method to kill all the above methods? It's really troublesome to remember the above methods

Can calculus be used to solve the summation of sequence in high school mathematics Common methods for finding general term of sequence Observation, induction, formula, accumulation, accumulation and multiplication The common methods of summation are as follows Formula method splitting term summation splitting term summation dislocation subtraction Can we use the calculus method to kill all the above methods? It's really troublesome to remember the above methods

There are many methods for sequence summation, and each method corresponds to a form of problem. If calculus is used, sometimes it will only complicate the problem, just like the root formula of quadratic equation, sometimes it is not as good as cross multiplication. The number sequence suitable for differential will be taught in freshman year. It will be difficult for you to use differential method at that time
The more formula methods a question has, the more likely it is to be right, isn't it~

Please briefly analyze what is the sum of split term elimination method and how to use it
I'd better give you an example. Thank you

The split term elimination method is to change one term into at least two terms so that they can cancel each other and become simple terms
For example: 1 / (1 * 2) + 1 / (2 * 3) + 1 / (3 * 4) +... + 1 / N (n + 1)
= 1 - 1/2 +1/2 -1/3 +1/3 -1/4 +...+ 1/n -1/(n+1)
= 1- 1/(n+1)
= n/(n+1)

All formulas of summation by phase elimination method with split terms
1/(2n+1)(2n+3)(2n+5)

1/[n(n 1)(n 2)]=1/2{1/[n(n 1)]-1/[(n 1)(n 2)]}
This formula should help you
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