Learn what an arithmetic sequence is and explore different examples of an arithmetic sequence. Understand how to find the sum of an arithmetic...
Sum of Arithmetic Sequence: 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)...
Example 17: The sum of the first n terms of the arithmetic sequence {$$ a _ { n } $$} is $$ S _ { n } $$. The sum of the first n terns of the arithmetic sequence |$$ b _ { n } $$} is $$ T _ { n } $$. Find a$$ \frac { a _ { 6 } } { b _ { 6 ...
Problem 15Let S, bethe sum of the first n tems of an arithmetic sequence that has a commondifference of 2. The quotient $$ \frac { S _ { 3 n } } { S _ { n } } $$r does not depend on n.What is $$ S _ { 2 0 } $$s?D(A) 340 (B) 360 (C) 380 (D) 400 (E...
They obtained their duals, matrix transformations and associated compact matrix operators for these matrix classes. This article deals with some geometric properties of these sequence spaces.Mursaleen, MohammadHerawati, ElvinaJournal of Inequalities & Applications...
Find the sum of the finite arithmetic sequence.Sum of the integers from -100 to 30Arithmetic Sequence:An arithmetic sequence is characterized by each of its subsequent terms having the same difference. If the first term of the sequence is a and the common difference is d,...
Answer to: The arithmetic sequence a_i is defined by the formula: a_1 = -4910 \\a_i = a_{i-1} + 8 Find the sum of the first 575 terms in the...
【题目】Example 17: The sum of the first n terms of the arithmetic sequence {$$ a _ { n } $$} is $$ S _ { n } $$1. The sum of the first n terns of the arithmetic sequence | $$ b _ { n } $$} is $$ T _ { n } $$. Find $$ \frac { a _ { 6 } } { b...
Example 2: In an arithmetic sequence a, the sum of first n terms is Sn. I fS_3=6 , a_1=4 , find the common difference d. It is ( ).(A)1( B 5/3(C)-2(D)3 相关知识点: 试题来源: 解析Solution: (C) Method 1: By formula(3), we have d3 1 3 1 3 1 2 3-1 2 2...
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