Arithmetic Sequences are sometimes called Arithmetic Progressions (A.P.’s)Advanced Topic: Summing an Arithmetic SeriesTo sum up the terms of this arithmetic sequence:a + (a+d) + (a+2d) + (a+3d) + ... use this formula:What is that funny symbol? It is called Sigma Notation Σ (...
Sn=(n+1)(a1+an)/2 D. Sn=(n-1)(a1+an)/2 相关知识点: 试题来源: 解析 A。本题考查等差数列求和公式。选项 A 中 Sn 表示前 n 项和,n 是项数,a1 是首项,an 是末项。除以 2 是因为求和时首尾相加乘以项数再除以 2。选项 B 不是等差数列求和公式,选项 C 和 D 也不正确。反馈 收藏 ...
A. \(na_1\) B. \(\frac{n}{2}(a_1 + a_n)\) C. \(n(a_1 + a_n)\) D. \(\frac{n}{2}a_1\) 相关知识点: 试题来源: 解析 B。中文解析:文章中给出等差数列前\(n\)项和公式为\(S_n=\frac{n}{2}(a_1 + a_n)\)。反馈 收藏 ...
Learn to define what an arithmetic sequence is and discover the arithmetic sequence formula. Learn to find the nth term and sum of arithmetic...
General Term of an Arithmetic Sequence | Overview, Formula & Uses 5:01 Sum of Arithmetic Sequence | Formula & Examples 6:00 Recursive Rule | Formulas & Examples 5:52 How to Write a Series in Summation Notation | Overview & Examples 4:16 Arithmetic Sequences | Formula & Examples 5:...
The sum of the arithmetic sequence formula says S_n = n/2 (a_1 + a_n) (or) S_n = n/2 (2a + (n - 1) d), where a_1 (or) a is the first term and d is the common difference of the arithmetic series.
The formula for the sum of an arithmetic sequence is S = n(a₁ + aₙ)/2. What does n represent? A. The number of terms in the sequence. B. The common difference. C. The first term. D. The last term. 相关知识点:
The formula for the sum of an arithmetic sequence is S = n(a₁ + an)/2 (where n is the number of terms, a₁ is the first term and an is the nth term). If n = 10, a₁ = 2 and an = 18, what is the value of S?
The sum formula of the first n terms of an arithmetic sequence is Sn = n(a1 + an)/2. If in an arithmetic sequence, a1 = 1, an = 19, n = 10, then Sn is equal to _. A. 100 B. 110 C. 120 D. 130 相关知识点:
An arithmetic series is the sum of the terms in an arithmetic sequence with a definite number of terms. Following is a simple formula for finding the sum: