In an AP Sn-Sn-1 is equal to ?
Answers
Answer:
an = Sn – Sn – 1.
Step-by-step explanation:
ARITHMETIC PROGRESSIONS: nth term of AP from the sum of first n terms. The nth term of an AP is the difference of the sum to first n terms and thesum to first (n – 1) terms of it, i.e., an = Sn – Sn – 1.
Answer:
an = Sn – Sn – 1
Step-by-step explanation:
From the above question,
They have given :
In an arithmetic sequence, Sn represents the sum to n terms.
An arithmetic sequence is a sequence of numbers in which each term is obtained by adding a fixed number to the previous term. This fixed number is called the common difference.
For example, if the first term is 2 and the common difference is 5, then the arithmetic sequence is (2, 7, 12, 17, 22, ...).
The formula for Sn is Sn = n/2 * (a1 + an), where a1 is the first term and an is the nth term of the sequence.
The formula for Sn is Sn = n/2 * (a1 + an), where a1 is the first term and an is the nth term of the sequence.
An AP Sn-Sn-1 is an arithmetic progression with a common difference of 1, so the answer is an arithmetic sequence with a common difference of 1.
Sn represents the sum of the first n terms in an arithmetic sequence. It can be calculated using the formula Sn = n/2 * (a1 + an), where a1 is the first term and an is the nth term of the sequence.
For example, if the first term of an arithmetic sequence is 5 and the common difference is 3, then the sequence is (5, 8, 11, 14, 17, ...).
To calculate Sn for the first 6 terms of this sequence, we can use the formula Sn = 6/2 * (5 + 17) = 6 * (22) = 132.
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