According to the problem, we have a series given as 1, 3, 5, 7, 9,……. We need to find the sum of the elements in this series up to n terms.We know that an Arithmetic Progression (AP) is of form a, a+d, a+2d,…….., where ‘a’ is kno...
)? What is the sum of first two terms? What is the second term? Similarly find the 3rd, the10th and the nth terms. 相关知识点: 试题来源: 解析 Solution: Given that,Sn = 4n - n2First term, a = S1 = 4(1) -(1)2=4-1= 3Sum of first two terms = S2= 4(2) -(2)2...
百度试题 结果1 题目If the sum of first n terms of an AP is An+Bn^2 where A and B are constants, the common difference of AP will be ( ) A. A+B B. A − B C. 2A D. 2B 相关知识点: 试题来源: 解析 D
(-1/2)=3+2= 5, whend =-1/2We know, the sum of nth term of AP is;Sn=n/2[2a+(n-1)dSo, when a = 1 and d=1/2T hen, the sum of first 16 terms are;S16=16/2[2+(16-1)1/2=8(2+15/2)=76And when a = 5 and d= -1/2T hen, the sum of first 16 terms are;...
Sum of N Terms, sum of n natural numbers, sum of n square numbers and sum of n cubic numbers, formulas are available here at BYJU'S with solved examples.
where \(a\) is the first term, \(d\) is the common difference, and \(n\) is the term number. Let's assume the middle term of the AP is \(a_2\). Then, the sum of the three consecutive terms will be: \[a_1 + a_2 + a_3 = 72\] Substituting the formula for \(a_1...
nthterm of an AP: an= a + (n - 1)d Sum of n terms of an AP: Sn= n/2 (2a + (n - 1) d) = n/2 (a + l), where l is the last term of the arithmetic progression. The following image comprehends all AP formulas. ...
So the series of natural numbers is 1, 2, 3,……….200. Here the first term a is 1. Common difference d is also 1 clearly. Last term( l ) is 200. Number of terms is also 200. We know the sum of n terms of an AP can be written as ${{\text{S}}_{\text{n}}...
Arithmetic Progression (AP) is a sequence of numbers in order that the common difference of any two successive numbers is a constant value. Learn with arithmetic sequence formulas and solved examples.
The sum of first nn terms of an AP is given by Sn=4n2+nSn=4n2+n. Find that APAP. AcademicMathematicsNCERTClass 10 Given: Sn=4n2+nSn=4n2+n To do: We have to find the AP. Solution: Let us take sum upto 1 term S1=4(1)2+(1)=4+1=5S1=4(...