WebDec 5, 2024 · The sum of the first n terms of an arithmetic progression (AP) is given by: Sn = n/2 [2a + (n-1)d] where a is the first term of the AP, d is the common difference, and n is … WebMay 5, 2024 · If an AP is Sn = n (4n+1), then find the AP asked May 5, 2024 in Class X Maths by kabita (13.8k points) class-10 0 votes 1 answer Find the common difference of the AP 4,9,14,… If the first term changes to 6 and the common difference remains the same then write the new AP. asked Jan 20, 2024 in Class X Maths by priya (19.0k points) class-10 0 …
Partial sums: formula for nth term from partial sum
WebSolution: The sum of n terms S n = 441 Similarly, S n-1 = 356 a = 13 d= n For an AP, S n = (n/2) [2a+ (n-1)d] Putting n = n-1 in above equation, l is the last term. It is also denoted by a n. The result obtained is: S n -S n-1 = a n So, 441-356 = a n a n = 85 = 13+ (n-1)d Since d=n, n (n-1) = 72 ⇒n 2 – n – 72= 0 Solving by factorization method, WebCorrect option is A) Given, S n=4n 2−n When n=1 , S 1=4(1) 2−1=4−1=3 Now, obviously, the sum of the first term will be the first term itself, as there are no other terms involved. When n=2 , S 2=4(2) 2−1=16=2=14 The sum of the first 2 terms is equal to a 1+a 2 Therefore, a 1+a 2=14 We have shown, above, that a 1=3 Substituting it in a 1+a 2=14, birmingham\u0027s chemist cleethorpes
In an AP if Sn = n(4n + 1) then Find the AP - YouTube
WebNCERT Exemplar Class 10 Maths Exercise 5.3 Sample Problem 1. If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, find the value of n. Summary: An arithmetic progression is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term. If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value ... WebLet n = 1, then a (1) = S (1) - S (0) and S (n) = (n+1)/ (n+10) that implies S (1) = 2/11,S (0) = 1/10 but S (0) = Sum of first 0 terms which is equal to zero ( S (0) = 0 ) and that is a contradiction. So the formula a (n) = S (n) -S (n-1) works only for n > 1. WebMar 30, 2024 · The sum of first n terms of an AP is given by S n = 2n 2 + 3n . Find the sixteenth term of the AP. Find the sixteenth term of the AP. This is a question of CBSE Sample Paper - Class 10 - 2024/18. dangers of phenol