In an a.p if sn n 4n + 1 find the a.p
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, WebIn an AP, if Sₙ = n(4n + 1), find the AP. Solution: Given, the expression for the sum of the terms is Sₙ = n(4n + 1) We have to find the AP. Put n = 1, S₁ = 1(4(1) + 1) = 4 + 1 = 5. Put n …
In an a.p if sn n 4n + 1 find the a.p
Did you know?
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] WebJan 22, 2024 · • A sequence is said to be in AP (Arithmetic Progression), if the difference between its consecutive terms are equal. • The nth term of an AP is given as ; T (n) = a + (n-1)•d , where a is the first term and d is the common difference. • The common difference of an AP is given as ; d = T (n) - T (n-1)
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 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. WebIn 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} …
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
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. portrush playgroupWebJan 27, 2024 · In an AP if Sn = n(4n + 1) then Find the AP In an AP if Sn = n(4n + 1) then Find the AP AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy … portrush post officeWebIn the given AP, the first term is a = 7 and the common difference is d = 4. Let 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 be a term of the given AP. Answer: 301 cannot be a term of the given AP. portrush potteryWebMar 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 … optucorp flightsportrush places to stayWebIn 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 … portrush primary school websiteWebClass 10 Maths NCERT Solutions Chapter 5 Exercise 5.3 Question 11 . Summary: If the sum of the first n terms of an AP is 4n - n 2, then the first term is equal to 3, the sum of first two terms is equal to 4, the second term is equal to 1, and 3rd term, 10th term and the nth terms are equal to -1, -15, (5 - 2n) respectively. optum - long beach