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.
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...
)? 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
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...
The following formula can be used to calculate the sum of the first n terms of an arithmetic progression (AP): Sum of first n terms (Sn) = (n/2) * [2a + (n-1)d] Where: Snis the sum of the arithmetic progression's first n terms. ...
Find the sum of first sixteen terms of the AP. 相关知识点: 试题来源: 解析 【解析】Solution: From the given statements, we canwrite,Anda3×a7=8 ...()By the nth term formula,an=a+(n-1)dT hird term, a3=a+(3-1)da3=a+2d...()And Seventh term, a7 = a + (7 -1)da7=a+6...
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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(...
method of asset cost allocation that apportions an asset's cost to expenses for each period expected to benefit from using the asset. Depending on the chosen cost apportionment or depreciation rate, depreciation charges can be variable,straight-lined, or accelerated over the useful life of an ...