Learn what an arithmetic sequence is and explore different examples of an arithmetic sequence. Understand how to find the sum of an arithmetic...
An arithmetic sequence is a set of numbers in which the difference between consecutive terms is constant. The sum of an arithmetic sequence is calculated by using the formula given below: {eq}{S_n} = \dfrac{n}{2}\left[ {2{a_1} + \left( {n - 1} \right)d} \right]...
The sum of an arithmetic sequence can be obtained using its first and last terms and its number of terms {eq}n {/eq}. That is, the formula for the sum of an arithmetic sequence is: {eq}S_n = \displaystyle \frac{n}{2}(a+l) {/eq} ...
Problem 15Let S, bethe sum of the first n tems of an arithmetic sequence that has a commondifference of 2. The quotient $$ \frac { S _ { 3 n } } { S _ { n } } $$r does not depend on n.What is $$ S _ { 2 0 } $$s?D(A) 340 (B) 360 (C) 380 (D) 400 (E...
百度试题 结果1 题目Find the sum of the arithmetic sequence.∑_(i=1)^∑(2i-3) 相关知识点: 试题来源: 解析 =3601a_1=2(1)-3=-1 a_(20)=2(20)-3=37 20 反馈 收藏
This note describes a method for evaluating the sums of the m-th powers of n consecutive terms of a general arithmetic sequence: {Sm ; m=0, 1, 2,…}. The method is based on the use of a differential operator that is repeatedly applied to a generating function. A known linear ...
Find the sum of the finite arithmetic sequence.Sum of the integers from -100 to 30Arithmetic Sequence:An arithmetic sequence is characterized by each of its subsequent terms having the same difference. If the first term of the sequence is a and the common difference is d,...
There is a nice trick for adding up the first n terms of an arithmetic sequence. It relies on the observation that the sum of the first and last terms is particularly useful. This sum is the same as the sum of the second and second to last terms, which is the same as ...
The sum of the first five terms of an arithmetic sequence is 50. If the first term is 5, what is the common difference? A. 3 B. 4 C. 5 D. 6 相关知识点: 试题来源: 解析 B。解析:设公差为 d,根据等差数列求和公式,S5=5a1+(5×4/2)d=50,a1=5 代入可得 25+10d=50,解得 d=25...
The sum of the first n terms of an arithmetic sequence is given by Sn = 2n^2 + 3n. Find the common difference of the sequence. A. 2 B. 3 C. 4 D. 5 相关知识点: 试题来源: 解析 C。解析:首先,根据等差数列求和公式 Sn = n(a1 + an)/2,又因为 Sn = 2n^2 + 3n,所以对比系数...