B in an ap if sn n 4n + 1 then find the ap. 2
WebThe sum of arithmetic progression whose first term is a and the common difference is d can be calculated using one of the following formulas: S n = n/2 (2a+(n−1)d) and S n = n/2 (a 1 +a n). The sum of AP of n natural … WebMay 5, 2024 · If an AP is Sn = n (4n+1), then find the AP. 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 votes. 1 answer.
B in an ap if sn n 4n + 1 then find the ap. 2
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WebFeb 26, 2024 · we know , Tn = Sn - S (n-1) =4n^2+n -4 (n-1)^2 - (n-1) =4 (n^2-n^2+2n-1)+ (n-n+1) =8n - 4 + 1. = 8n -3. hence , Tn = 8n -3. T1 =8 (1)-3 =5. WebIn an AP, if Sn = n (4n+1), then find the AP. Solution 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 …
WebDec 31, 2016 · If the sum of first n terms of an A.P is given by Sn=4n2-3n,than find the nth term of an AP Get the answers you need, now! ... Sn=4n^2-3n s1=4*1-3*1=1 s2=4*2^2-3*2=16-6=10 s3=4*3^2-3*3=36-9=27 ... =1+8n-8 =8n-7 Advertisement Advertisement New questions in Math (iv) (1,2), II. Find the length of the chord intercepted by the circle x² + … WebDec 15, 2024 · About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...
WebSolution: An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common difference. It is obtained by adding the same fixed number to its previous term. n - 2, 4n - 1, 5n + 2 are in AP. 3n + 1 = 5n + 2 - … WebMar 31, 2024 · S n = n(4n + 1) Formula: a = first term. d = common difference. Calculation: S 1 = 1 (4 × 1 + 1) ⇒ S 1 = 4 + 1 = 5. S 2 = 2 (4 × 2 + 1) ⇒ S 2 = 2 × 9 = 18. Second …
WebIf the n th term of an AP is given, say T n = 2n + 7, then to find its first term, just substitute n = 1 in it. Then we get T 1 = 2(1) + 7 = 9, is the first term of the AP. How Do I Find the Common Difference From nth Term of AP? If the n th term of an AP is given, say T n = 2n + 7, then to find its common difference, just find T 1 and T 2 and ...
WebAug 26, 2024 · Best answer Sn = n (4n + 1) Sn - 1 = (n - 1) [ 4 (n - 1) - 1] = (n - 1) [ 4n - 5] Sn - Sn - 1 = n (4n + 1) - (n - 1) (4n - 5) (a1 + a2 + a3 + - - - + an - 1 + an) - (a1 + a2 + … small scholarships for college freshmenWebIn an AP, if S n = n (4n + 1), find the AP. Advertisement Remove all ads Solution We know that, the n th term of an AP is a n = S n – S n – 1 a n = n (4n + 1) – (n – 1) {4 (n –1) + 1} ...... [∵ S n = n (4n + 1)] ⇒ a n = 4n 2 + n - (n – 1) (4 n – 3) = 4n 2 + n – 4n 2 + 3n + 4n – 3 = 8n – 3 Put n = 1, a 1 = 8 (1) -3 = 5 small scholarships for high school studentsWebGiven that sn = 4n^2 + 2n. ----- (1) Substitute n = 1 in (1), we get sn = 4(1)^2 + 2(1) = 4 + 2 = 6. So, Sum of the first term of AP is 6 i.e a = 6. Now, Substitute n = 2 in (1), we get sn = 4(2)^2 + 2(2) = 4 * 4 + 2 * 2 = 16 + 4 = 20. So, Sum of the first 2 terms = 20. Now, First-term + second term = 20 6 + a2 = 20 a2 = 20 - 6 a2 = 4. Hence in AP, highrise cng kit reviewWebMar 16, 2024 · Step-by-step explanation: Because the sum of first n terms of any AP is in the form (d/2)n² + (a - d/2)n, where d is the common difference and a is the first term. So … highrise construction solutions incWebMar 29, 2024 · Transcript. Ex 5.3, 3 In an AP (i) Given a = 5, d = 3, an = 50, find n and Sn. Given a = 5 , d = 3 , an = 50 We know that an = a + (n – 1) d Putting values 50 = 5 + (n – 1) ×3 50 = 5 + 3n – 3 50 = 2 + 3n 50 – 2 = 3n 48 = 3n 48/3=𝑛 n = 16 Now we need to find Sn Sn = 𝒏/𝟐 (𝟐𝒂+ (𝒏−𝟏)𝒅) Putting n = 16, a = 5, d = 3 ... highrise codWebSolution. We know that, the n th term of an AP is. a n = S n – S n – 1. a n = n (4n + 1) – (n – 1) {4 (n –1) + 1} ...... [∵ S n = n (4n + 1)] ⇒ a n = 4n 2 + n - (n – 1) (4 n – 3) = 4n 2 + n … highrise computerWebFirst of all, the arbitrary term should be 1/n·(n+4), not 1/n·(n+1). But okay, let's try to find the sum from n=1 to ∞ of 1/n·(n+4). We'll start by rewriting this with partial fractions. So we … highrise code