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.
)? 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
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...
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 \(a_1\) and \(a_3\): \[a + (1-1)d + a + (2-1)d + a + (3-1)d = 72\] Simplifying: \[3a...
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(-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 first n terms (Sn) = (n/2) * [2a + (n-1)d] Where: Snis the sum of the arithmetic progression's first n terms. nis the number of terms in the progression. ais the first term of the progression. dis the common difference between consecutive terms. ...
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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(...