of 'n' terms of a progression is n(n + 1). Prove that it is an A..P. Also find its 10th term. (b) The sum of 'n' terms of a progression is(3n2−5n).Prove that it is an A.P. (c) If the sum of n terms of a series is(5n2+3n)then find its first five terms. ...
Sum the series:x(x+y)+x2(x2+y2)+x3(x3+y3)...to n terms View Solution solve:−2(x2−y2+xy)−3(x2+y2−xy) View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT...
百度试题 结果1 题目Which one of the following formulas is used to find the sum of n terms of an arithmetic series?A. B. C. D. 相关知识点: 试题来源: 解析 C 反馈 收藏
To determine the sum of the first {eq}\; n^{\text {th}} \; {/eq} terms of the given series, first of all, we will determine the general term for the series using arithmetic progression formula {eq}\; \Biggr[ a_{n} = a + (n - 1) \times d \Biggr] \;...
, 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. ...
Now let us find the sum of n terms of the given series. We know that sum of n terms of an Arithmetic Progression (AP) is defined as ${{S}_{n}}=\dfrac{n}{2}\times \left( a+{{T}_{n}} \right)$.So, we have sum of n terms of the given s...
The sum of n terms of an A.P. series is(n2+2n)for all values of n. Find the first 3 terms of the series: View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12,...
5. (a)Prove that the sum of the first n terms of an arithmetic series is given by the formula Sn=a S_n=n/2[2a+(n-1)d]where a is the first term of the series an d d is the common difference between the terms.(4)(b) Fin d the sum of the integers which are divisible by...
View Solution Find the sum to n terms of the series :3×12+5×22+7×32+... View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions...
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...