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. ...
(8)An arithmetic series has first term a an d common difference d.Given that the sum of the first twenty terms of the series is equal to the sum of the next ten terms of the series, show that the ratio a: d = 11: 2 相关知识点: ...
General geo*arithmetic series and sums of powers of numbers with common differenceDaniel Arficho Gaenore
Determine whether the sequence -1/2, 1/2, 3/2, 5/2, 7/2, ..., is arithmetic, geometric, or neither. Write the nth term of the sequence 1 / 3, 2 / 7, 3 / 13, 4 / 21, 5 / 31, . . . . Find the forty-first term of the arithmetic sequence: 2, 6,...
等差数列(Arithmeticsequence) Arithmeticsequence medicalaircraft Ifaseriesofarithmeticprogression,fromsecondonwards, eachwithitsfirstdifferenceisequaltoaconstant,this seriesiscalledarithmeticprogression,thisconstantis calledarithmeticsequenceoftolerance,tolerancecommon letterD.Arithmeticthegeneralformula:an=a1+(n-1)d(...
The common difference of an arithmetic sequence is 2 and the fifth term is 15. What is the first term? A. 5 B. 7 C. 9 D. 11 相关知识点: 试题来源: 解析 B。解析:设首项为 a1,根据等差数列通项公式 an = a1 + (n - 1)d,这里 a5 = 15,d = 2,n = 5,代入可得 15 = a1 +...
If the first term of an arithmetic sequence is 5 and the common difference is 3, then the third term is ___. A. 11 B. 10 C. 12 D. 9 相关知识点: 试题来源: 解析 A。中文解析:首项\(a_1 = 5\),公差\(d = 3\),根据通项公式\(a_n = a_1 + (n - 1)d\),第三项\(a_...
Suppose you are provided with an arithmetic sequence. How can you find the sum of n terms of the sequence without having to add all terms? Use examples. Arithmetic Sequence- Sum of Its n Terms and General formula: A sequence of numbers is known as the arithm...
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(1)since a11=0 so a1+10d=0……(1)S14=98 so (2a1+13d)*14/2=98 so 2a1+13d=14 (2)2(1)-(2)=7d=-14 d=-2 then a1=20So that the general term of the sequence is an=22-2n(2)a1>=6a11=a1+10d>0(2a1+13d)*14/2反馈...