, the equation becomes , 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. ...
Writing the right-hand side as n(a_1+a_n), the equation becomes 2S=n(a_1+a_n), 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, S= n2(a_1+a_n). Find ...
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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. 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 - ...
The sum of arithmetic sequence with first term 'a' (or) a1 and common difference 'd' is denoted by Sn and can be calculated by one of the two formulas:Sn = n/2 [2a + (n - 1) d] (or) Sn = n/2 [a1 + an]Before we begin to learn about the sum of the arithmetic sequence...
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...
The sum of the first 10terms of the sequence is 162.(a) Show that 10a+45 d =162Given also that the sixth term of the sequence is 17.(b) write down a secon d equation in a an d d,(c) fin d the value of a an d the value of d. ...
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...