In an a.p if sn n 4n + 1 find the a.p
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. WebJul 22, 2024 · What is Sn - Sn-1 in an AP Get the answers you need, now! mindhu203 mindhu203 22.07.2024 Math Secondary School answered What is Sn - Sn-1 in an AP See answer ... 4n + 2 Subtracting s(n-1) from S(n), T(n) = 4n - 2 OR Given a is first term and d be the common difference. Sn = (n/2)[ 2a + ( n -1) d]
In an a.p if sn n 4n + 1 find the a.p
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WebJun 24, 2024 · In an A.P., if Sn = n(4n + 1) then find the A.P. - YouTube 24. In an A.P., if Sn = n(4n + 1) then find the A.P.For Short Notes, Revision Notes And NCERT Solution.Visit... 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 first two terms = 4 Therefore Second term =S2 −S1 =4−3 =1 So second term = 1 Again S3 = 4×3 - 3² (Put n= 3) = 12 – 9 = 3 Therefore Third term = S3 − S2 = 3 – 4 = – 1
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 ... WebAug 30, 2024 · The nth term of A.P. is 4n-1. Explanation: Given : The sum of the first n terms of an A.P. is given by . At n=1 , At n=2 , Since . So , ⇒. Also, nth term of A.P. is given by :-Hence, the nth term of A.P. is 4n-1. # Learn more: If Sn' the sum of first n terms of an A.P is given by Sn = 5n2 + 3n then find its nth term. brainly.in/question/1036328
WebAug 31, 2015 · an = 4n +5. We can find terms 1 to 5 by substituting n respectively in the expression. an = 4n +5. So, a1 = 4 ⋅ (1) + 5 = 9. a2 = 4 ⋅ (2) + 5 = 13. a3 = 4 ⋅ (3) + 5 = 17. a4 = 4 ⋅ (4) + 5 = 21. a4 = 4 ⋅ (5) + 5 = 25. 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 term = S 2 …
WebFeb 5, 2024 · Find an answer to your question if the sum of n terms of an AP is given by Sn=n(4n+1),then find the nth term of the AP vishalsinghshiva vishalsinghshiva 05.02.2024
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-1)+ (n-n+1) =8n - 4 + 1 = 8n -3 hence , Tn = 8n -3 T1 =8 (1)-3 =5 T2= 8 (2)-3 =13 so, AP is 5, 13 , 21 and so on Find Math textbook solutions? Class 7 Class 6 Class 5 Class 4 how can renew my passportWeb^ 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 ... how can remove unwanted hair naturallyWebLet us assume that 301 is the n th term of AP. Then: T n = a + (n - 1)d. 301 = 7 + (n - 1) 4. 301 = 7 + 4n - 4. 301 = 4n + 3. 298 = 4n. n = 74.5. But 'n' must be an integer. Hence 301 cannot … how can remove unwanted hairWebJan 20, 2014 · Varun.Rawat, Meritnation Expert added an answer, on 21/1/14. We have, S n = 4n 2 + n. put n = 1, we get. S 1 = 4 (1) 2 + 1 = 4 + 1 = 5. So, First term, a 1 = 5. Put n = 2 , we … how can religion spreadWebGiven 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, how can remove virusWebMar 29, 2024 · Similarly find the 3rd, the 10th and the nth terms. Given Sn = 4n – n2 Taking n = 1 S1 = 4 × 1−12 = 4 – 1 = 3 ∴ Sum of first term of AP is 3 Taking n = 2 in Sn S2 = … how can replacing pcs affect the environmentWebSolution: 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, how can repetition be effective