Tn = Sn - S(n-1) what is this
Answers
Tn=Term that is not equal to n.
To prove this
You subtract s(n-1) from s(n) to get the nth term.
For example, let's consider an AP with a=2 and d=4.
S = (n/2)[2a + (n-1)d]
S = (n/2)[4 + (n-1)4]
S = n(2 + 2n - 2)
S = 2n^2
S(n) = 2n^2
By recursion,
S(n-1) = 2(n-1)^2
S(n-1) = 2n^2 - 4n + 2
Subtracting s(n-1) from S(n),
T(n) = 4n - 2
HOPE IT HELPS......
Answer :
Formula of nth term of an arithmetic sequence or a recursive formula.
what is arithmetic sequence?
An arithmetic sequence is a sequence of numbers where each term is obtained by adding a fixed number to the previous term. This fixed number is called the common difference.
Explanation :
The formula Tn = Sn - S(n-1) represents the nth term of a sequence, where Sn is the sum of the first n terms of the sequence, and S(n-1) is the sum of the first (n-1) terms. This formula can be used to find the nth term of an arithmetic sequence.
or can be
A recursive formula for finding the nth term (Tn) of a sequence, given the sum of the first n terms (Sn) and the sum of the first (n-1) terms (S(n-1)). The nth term is equal to the difference between the sum of the first n terms and the sum of the first (n-1) terms. This type of formula is often used in mathematical induction proofs and in the analysis of sequences and series.
To learn more about arithmetic sequence follow the given link :
https://brainly.in/question/696747
https://brainly.in/question/4219484
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