Learn what an arithmetic sequence is and explore different examples of an arithmetic sequence. Understand how to find the sum of an arithmetic...
Finding the Sum of Arithmetic Sequence: 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} + ...
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
The sum of the first five terms in an arithmetic sequence (等差数列) is 30. The sum of the last five terms is 95. The sum of all the terms is 225. How many terms are there in this sequence? 相关知识点: 试题来源: 解析 18 一个等差数列的前五项和为30,最后五项和为95,所有项之和为...
A series is the sum of the terms in a sequence, so an arithmetic series is the sum of the terms in an arithmetic sequence. Let S represent the sum: S=a_1+a_2+a_3++a_(n-2)+a_(n-1)+a_n. Write the sum again, except write the terms from last term to first term: S=a_...
The sum of the first n terms of an arithmetic sequence is given by Sn = 2n^2 + 3n. What is the common difference? A. 2 B. 3 C. 4 D. 5 相关知识点: 试题来源: 解析 C。首先,根据等差数列前 n 项和公式 Sn = n(a1 + an) / 2 = na1 + n(n - 1)d / 2,对比给定的 Sn ...
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...
, and the sum of the first 20 terms is 250. Find the sum of the first 100 terms in this sequence. 相关知识点: 试题来源: 解析 3250. The sum of every 10 terms in an arithmetic sequence also forms another arithmetic sequence. The sum from the 11th term to the 20th term is 250−...
The sum of the first n terms of an arithmetic sequence is given by Sn = 2n^2 + 3n. What is the common difference? A. 4 B. 2 C. 6 D. 8 相关知识点: 试题来源: 解析 A。由 Sn = 2n^2 + 3n ,可得 a1 = S1 = 5 ,a2 = S2 - S1 = 12 - 5 = 7 ,所以公差 d = a2 - ...
, so the sum of the first n terms of the arithmetic series, S, is equal to one-half the number of terms multiplied by the sum of the first and last terms. That is, . Find the sum of the terms in the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. ...