WebFor 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, n 2 -9n+8n-72 = 0 (n-9) (n+8)=0 So, n= 9 or -8 WebCalculates the n-th term and sum of the arithmetic progression with the common difference. \(\normalsize Sn=a+(a+d)+(a+2d)+\cdots +(a+(n-1)d)\\\) initial term a common difference d number of terms n n＝1,2,3... 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit the n-th …

In an AP, if Sₙ = n(4n + 1), find the AP - Cuemath

WebNov 6, 2013 · (viii) Given that, a n = 4, d = 2, S n = −14. a n = a + (n − 1)d. 4 = a + (n − 1)2. 4 = a + 2n − 2. a + 2n = 6. a = 6 − 2n (i) −28 = n (a + 4) −28 = n (6 − 2n + 4) {From equation (i)} … WebMar 23, 2024 · Solution For given an =4,d=2, Sn =−14, find n and a. 34. In the given figure, O is the centre of the circle with A C = 24 cm, A B = 7 cm and ∠ BOD = 9 0 ∘.Find the area of the shaded region. A right cylindrical container of radius 6 cm and height 15 cm is full of ice-cream, which has to be distributed to 10 children in equal cones having hemispherical … sian elizabeth bowen

In an AP, given an = 4, d = 2, Sn = - 14 , find n and a - Toppr

WebThe sum of n terms of an AP can be found using one of the following formulas: S n = n/2 (2a+ (n−1)d) S n = n/2 (a 1 +a n) Here, a = a 1 = the first term, d = the common difference, n = number of terms, a n = n th term, S n … WebNov 6, 2013 · In an AP, an = 4, d = 2, Sn = -14 find n and a - Maths - Arithmetic Progressions. NCERT Solutions; Board Paper Solutions; Ask & Answer ... (viii) Given that, a n = 4, d = 2, S n = −14. a n = a + (n − 1)d. 4 = a + (n − 1)2. 4 = a + 2n − 2. a + 2n = 6. a = 6 − 2n (i) −28 = n (a + 4) −28 = n (6 − 2n + 4) {From equation (i)} −28 ... sian elin thomas