Step 1: The nth term of an arithmetic sequence, an = a1 + (n – 1)d, where the first term is a1, the second term is a1 + d, the third term is a1 + 2d, etc and this gives the sum of series formula Sn = a1 + (a1 + d) + (a1 + 2d) + … + [a1 + (n–1)d] _...
The arithmetic series formula will make sense if you understand this activity. Focus then a lot on this activity!Sum of arithmetic series: How to find the sum of the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.Using the sequence 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. ...
For example, 1+4+7+10+13+16 is an arithmetic series where the common difference is 3. The sum, s, of the arithmetic series a1+a2+⋯+an is given by the formula s=n(a1+an2) where n is the number of terms, a1 is the first term of the series, and an is last term...
An arithmetic sequence refers to a series of numbers separated by a constant difference between adjacent terms. The formula used to solve the sum of an arithmetic sequence is: n/22a + (n-1)d, where n = the number of terms to be added, a = the first term, and d = the constant val...
What is the formula used for finding the sum of n terms of an arithmetic series? A: S = (2a + (n − 1)d) B: S = n(a − 1) C: S = 2n(a + 1) D: S = (a + 2ℓ) 相关知识点: 试题来源: 解析 A None
The sum formula of the first n terms of an arithmetic sequence is Sn = n(a1 + an)/2. If in an arithmetic sequence, a1 = 1, an = 19, n = 10, then Sn is equal to _. A. 100 B. 110 C. 120 D. 130 相关知识点:
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...
Arithmetic Sequence:d=2d=2 This is theformulaof anarithmetic sequence. an=a1+d(n−1)an=a1+d(n-1) Substitute in the values ofa1=3a1=3andd=2d=2. an=3+2(n−1)an=3+2(n-1) Simplify eachterm. Tap for more steps...
We can find the sum by using the following formula: Sn=n2 [2a+(n−1)d]Sn=2n [2a+(n−1)d] where: nn –Number of terms; aa –First term; and dd –Common difference. We can also use the above formula to calculate the partial sum of an infinite arithmetic series. So, in ...
Sum the series :x(x+y)+x2(x2+y2)+x3(x3+y3+→nterms. View Solution Find the sum of the following arithmetic progression:x−yx+y,3x−2yx+y,5x−3yx+y,..−−→nterms. View Solution Write down the terms of the expression:8x4y−7x3yz+43x2yz2−5xyz. ...