How many terms of ap 54 51 48
WebFind the number of terms of the AP: 54, 51, 48, … so that their sum is 513. Ans. 18 or 19. 60. In an AP, the first term is –4, the last term is 29 and the sum of all its terms is 150. Find its common difference. Ans. 61. Find the sum of …
How many terms of ap 54 51 48
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WebInformation about How to many terms of the series 54, 51,48 . be taken so that their sum is 513 ? Explain the double answer? covers all topics & solutions for Class 10 2024 Exam. … WebHow many terms of AP 54, 51, 48... are they required to give a sum of 513? (a) 21 or 25 (b) 22 or 23 (c) 23 or 24 (d) 18 or 19 Response: (d) 18 or 19 Question 3.
WebFind the number of terms of the AP 54,51,48 ,. So that their sum is 513. Easy Solution Verified by Toppr Formula: S n= 2n[2a+(n−1)d] Given, 513= 2n[2(54)+(n−1)(−3)] 1026=n[108−3n+3] 3n 2−111n+1026=0 (n−19)(n−18)=0 ∴n=19,18 Was this answer helpful? 0 0 Similar questions If the sum of m terms of an AP is the same as the sum of its n terms. Web28 mrt. 2024 · Ex 5.3, 4 - Chapter 5 Class 10 Arithmetic Progressions (Term 2) Last updated at March 28, 2024 by Teachoo. This video is only available for Teachoo black …
WebFind the number of terms of the. AP 54, 51, 48, ...... so that their sum is 513. Explain the double answer. Question Medium Solution Verified by Toppr a=54 d=51−54=−3 S n=513 S n= 2n[2a+(n−1)d] ⇒513= 2n[2(54)+(n−1)(−3)] ⇒1026=n[108−3n+3] ⇒1026=n[111−3n] … Web30 dec. 2016 · 6 people found it helpful mysticd 54,51,48,... Ap first term = a=54, common difference = d=a2-a1=51-54=-3 sum of n terms =513 n/2 [2a+ (n-1)d] =513 n/2 ( [2*54+ (n-1) (-3)]=513 n/2 [108-3n+3] =513 (n/2)*3 [36-n+1]=513 n [37-n]= 513*2/3 37n-n²=171*2 n²-37n+342=0 n²-18n-19n+18*19=0 n (n-18)-19 (n-18)=0 (n-18) (n-19)=0 n-18=0 or n-19=0 …
WebHow many terms of the series 54,51,48,...... be taken so that their sum is 513? A 18 B 19 C 20 D A and B Medium Solution Verified by Toppr Correct option is D) Given series is …
WebAnswer (1 of 5): In the above AP series it is given that Sn = 513 a = 54 d = (-3) n = ? We know Sn = n/2(2a+(n-1) d) Therefore 513 =n/2(2×54) +(n-1) (-3) 1026 = n(108-3n+3) =108n-3n^2+3n 3n^2-108n-3n+1026 = 0 Dividing above equation by 3 n^2-36n-n+342 = 0 n^2-37n+342 = 0 n^2–18n-19n... glycogen replenishment after exerciseWeb18 feb. 2015 · How many terms of the a.p. 48,42,36,.... be taken so that the sum is 216? How many terms of the a.p. 48,42,36,.... be taken so ... person. Raghunath Reddy. According to the given AP ,a = 48 & d = - 6 and sum of the given AP = 216. we know that S n = n/2(2a + (n -1)d) 216 = n/2(2(48) + (n -1)-6) => 432 = n(96 - 6n + 6) => 432 = 102n ... glycogen reducing and nonreducing endsWeb5 jan. 2024 · Math Secondary School answered Find the number of terms of AP 54, 51, 48 so that the sum is 513 Advertisement Loved by our community 30 people found it helpful Frozeblood745 Answer: Step-by-step explanation: Given : a= 54 d = 51-54= -3 Sn =513 To find : n= ? Solution: Sn=n/2 [2a+ (n-1)d] 513= n/2 [2×54+ (n-1) -3] 513×2= n [108-3n+3] glycogen reserves are typically found inWebHow many terms of the series 54, 51, 48, …. be taken so that their sum is 513 ? Explain the double answer Advertisement Remove all ads Solution ∵ a = 54, d = – 3 and S_n = 513 … glycogen reserves last about how many hoursWebVerified Answer How to many terms of the series 54, 51,48 . be taken so that their sum... Use forumla , Sn=n/2 {2a+ (n-1)d} from series , a=54 d=-3 Sn=513 now, 513=n/2 {54 x 2+ (n-1) (-3)} 1026=n {108+3-3n} =111n-3n^2 3n^2-111n+1026=0 n^2-37n+342=0 use quadratic formula , n= {37+_√ (1369-1368)}/2 = (37+_1)/2=19 and 18 glycogen resynthesis definitionWeb31 mrt. 2024 · nth term of AP = 0 The given AP = 54, 51, 48 … Formula: T n = a + (n – 1)d Where, a = first term and d = common difference Calculation: Here, a = 54 d = 51 – 54 = - 3 T n = a + (n – 1) d ⇒ 0 = 54 + (n – 1) × (- 3) ⇒ (n – 1) × (-3) = - 54 ⇒ n – 1 = 54/3 ⇒ n – 1 = 18 ⇒ n = 19 ∴ There are 19 terms of the AP. Download Solution PDF Share on Whatsapp glycogen replenishment formulaWeb16 nov. 2016 · FIND THE NUMBER OF TERMS OF THE A.P 54,51,48.........SO THAT THEIR SUM IS 513 See answers Advertisement Golda Solution:- Given : a = 54, d = - 3 … bollebygd schoolsoft