WebSolution We know that, the nth term of an AP is; an= Sn−Sn−1 an= n(4n+1)−(n−1){4(n−1)+1} [∵ Sn= n(4n+1)] ⇒ an =4n2+n−(n−1)(4n−3) ⇒ an =4n2+n−4n2+3n+4n−3 ⇒ an =8n−3 P … WebConsider an arithmetic progression (AP) whose first term is a 1 (or) a and the common difference is d.. The sum of first n terms of an arithmetic progression when the n th term is NOT known is S n = (n/2) [2a + (n - 1) d]; The sum of first n terms of an arithmetic progression when the n th term(a n) is known is S n = n/2[a 1 + a n]; Example: Mr. Kevin …

In an AP, if Sn = n (4n + 1) , fill the AP is 5, 13, - Toppr

Web^ r . c a l v i n McKi n n e y As the result of injuries received a week before, R. Calvin McKinney, a well known resident of near T aney town, died on Thursday morning. Mr. McKinney, who was in his eighty eighth year, sustained a brok en collarbone on Thursday of last week. He had been visiting his son, John McKinney, on the home farm and ... WebGiven sum of first n terms of the AP is Sn = 4n - n² Put n = 1, we get S1 = 4*1 - 1² = 4 – 1 = 3 So first term = 3 Now, sum of first two terms S2 = 4*2−2² (Put n=2) = 8−4 = 4 So sum of … chipseq tools

nth term of AP - Formula nth Term of Arithmetic Progression - Cuemath

WebSep 20, 2024 · Expert-Verified Answer 26 people found it helpful Wafabhatt given , Sn =n ( 4n + 1 ) = 4n^2 + n we know that, Tn = Sn - S (n-1) =4n^2+n -4 (n-1)^2 - (n-1) =4 (n^2-n^2+2n … WebIn an AP, if S n=n(4n+1), fill the AP is 5, 13, __, --- Medium Solution Verified by Toppr Correct option is A 21 S n=n(4n+1) ∴S 1=a=1(4+1)=5 and S 2=a 1+a 2=2(4×2+1)=18 ⇒a+a+d=18⇒2a+d=18 ⇒d=18−2a=18−10=8 Therefore the AP is a,a+d,a+2d,.... i.e. 5,13,21,... Was this answer helpful? 0 0 Similar questions In an AP if a=1, a n=20 and S n=399, then n … grapevine tx to airport