High school mathematics what kind of sequence can use superposition to find Sn, what kind of sequence can use dislocation subtraction to find Sn, it's better to be more detailed and list all the possibilities

Superposition method is to write out the general term formula or the first n terms of the sum of the first n terms in the title, and then add them all up. The left side of the equal sign adds the left side, the right side adds the right side, and often the right side can offset each other, making the title very simple. A (n) - A (n-1) = Na (n-1) - A (n-2) = n-1a (n-2) - A (n-3) = n-2 a(2)-...

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1. It is urgent to find the sum of sequence dislocation subtraction The calculation problem is urgent
2. Using the method of dislocation subtraction to find the first n terms and the higher one sequence Given the square of. An = 4N, find the sum of the first n terms of. BN = 1 / 2-1 of an ^ 2-1
3. Examples of dislocation subtraction in sequence an=4n-2 bn=2/[4^(n-1)] cn=an/bn Finding the first n terms and TN of CN of sequence
4. How to calculate the dislocation subtraction method in the proportional sequence? I don't quite understand this algebra
5. What is the meaning of "equal difference multiplied by equal ratio" in dislocation subtraction method
6. The solution is: SN = 1 × 2 + 3 × 4 + 5 × 8 +. + (2n-1) 2 * n (this represents the nth power of 2)
7. When an = (1 / 2n-1) * (3 / 4) ^ n, how much is Sn equal to
8. An = nx2n square for Sn dislocation subtraction
9. It is known that {an} satisfies an = (3N + 1) 2 ^ (n + 1), and Sn is obtained by subtraction of dislocation
10. An = n times 3 ^ n, find Sn (dislocation subtraction, detailed process)
11. High school mathematics sequence dislocation want to reduce
12. Easy to understand, I have a poor foundation, too abstruse to understand ~
13. Senior three a round of sequence sequence sum dislocation subtraction homework master into ah It is known that the tolerance D of the arithmetic sequence an is greater than 0, and A2 and A5 are two of the equations x ^ 2-12x + 27 = 0. The sum of the first n terms of the sequence BN is TN, and TN = 1-1 / 2bn (1) Finding {an} {BN} will find that an = 2N-1, BN = 2 / 3 * [(1 / 3) of the N-1 power] (2) Note CN = anbn, find the first n terms of {CN} and Sn Is to seek the second question of dislocation subtraction!
14. When and which method should be used?
15. Which mathematician put forward these ideas first
16. What is the sum of split term subtraction, dislocation subtraction, reverse order addition and reverse order addition?
17. If the sequence {an} satisfies Sn = 3A (n + 1) + 2, n ∈ n *, A1 = 1, then the general term formula of sequence an is? (n + 1) is the subscript When n ≥ 2, an = s (n) - S (n-1) = 3A (n + 1) + 2 - 3an-2 4An=3A(n+1) A(n+1) / An = 4/3 {an} is the common ratio q = 4 / 3 =?
18. If the first n terms of an and Sn = (1 / 3) ^ Na + 1 / 6, a=
19. Let the sum of the first n terms of the sequence an be Sn, A1 = 1, an = (Sn / N) + 2 (n-1) (n ∈ n *) and prove that the sequence an is an arithmetic sequence, Let the sum of the first n terms of a sequence an be Sn, A1 = 1, an = (Sn / N) + 2 (n-1) (n ∈ n *) 1. Prove: the sequence an is the arithmetic sequence, and write the expressions of an and Sn about n respectively 2. Is there a natural number n such that S1 + S2 / 2 + S3 / 3 + +Sn / N - (n-1) ^ 2 = 2013, if it exists, calculate the value of N, if it does not exist, please explain the reason
20. Given the first n terms of sequence {an} and Sn = n ^ 2 + N + 1, is an arithmetic sequence?