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How many terms of ap 54 51 48

Web31 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 = … WebHow 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 …

How many terms of an AP 54,51,48.... be taken ao that their sum …

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] … WebCorresponding terms of A.P = first and last, second and second last etc. So if an AP is 1,2,3,4,5,6 then corresponding terms are (1,6) , (2,5) , (3,4). Average of the A.P = mean of the corresponding terms e.g: 1+6/2 or 2+5/2 etc Sum of A.P = ( Average of A.P. ) * ( Number of terms ) slugs and diatomaceous earth https://camocrafting.com

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Web31 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 WebHow many terms of the AP: 9, 17, 25, … must be taken to give a sum of 636? ... Find the number of terms of the AP: 54, 51, 48, … so that their sum is 513. 60. In an AP, the first term is –4, the last term is 29 and the sum of all its terms 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... soksaby company

Class X - Arithmetic Progression (PYQs) - Practice For Everyone

Category:How many terms of the a.p. 48,42,36,.... be taken so that the sum …

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How many terms of ap 54 51 48

How to many terms of the series 54, 51,48 . be taken so that their …

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 … Web15 mrt. 2016 · How many terms of an AP 54,51,48.... be taken ao that their sum is 513? explain double answer. what do u mean by double answer?? even i dont know... so i …

How many terms of ap 54 51 48

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Weba = 54, d = – 3 and S n = 513 (n 2)[2a + (n – 1) d] = 513 (n 2)[108 + (n – 1) × – 3] = 513. n 2 – 37n + 342 = 0 (n – 18) (n – 19) = 0 . n = 18 or 19. Here, the common difference is … WebHow many terms of AP 54, 51, 48… are required to give a sum of 513? (a) 21 or 25 (b) 22 or 23 (c) 23 or 24 (d) 18 or 19 Answer: (d) 18 or 19 Question 3. Find the next two terms of the A.P.:- -10, -6,-2… (a) 4,8 (b) -4,-8 (c) 2,6 (d) 6,10 Answer: (c) 2,6 Question 4.

Web5 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] 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.

Web1 feb. 2024 · How many terms of the series 54, 51,48 ....... be taken so that, their sum is 513 ? Explain the double answer. arithmetic progression class-10 1 Answer +2 votes … Web18 mrt. 2024 · How many terms of the AP 18 16, 14, 12, …. are needed to give the sum 78? Explain the double answer. asked Jul 26, 2024 in Arithmetic Progression by Haifa ( 52.5k points)

Web18 feb. 2024 · How many terms of series 54,51,48,....be taken so that their sum is 513? explain the double answer. Advertisement Expert-Verified Answer 526 people found it …

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. … sokratherm herfordWebtotally 18 terms are required to make sum as 513. 54 +51+ 48 +45 +42 + 39+ 36 +33 +30 +27 + 24 +21 +18 + 15 + 12 + 9 + 6 +3 = 513 slugs and snails and puppy dogs tailsWebFind 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 … slugs and dogs lungworm eradicationWebVerified 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 slugs and snails eyfsWebWe first need to find the number of terms in the A.P. using the formula we get, -8 = 12 + [-2 (n – 1)] So n = 11 Now using the formula, where l is the last term of the A.P. we get, required sum = 22 Q16. If a= 252 and the d= 3. Also, the last term is 999 and the number of terms is 250, Find the sum of the AP? 186375 146375 166375 156375 Solution slugs and snails and puppy dog tails poemWebARITHMETIC PROGRESSIONS(A.P)-How many terms of the series 54,51,48,..... be taken so that their sum is 513? Explain the double answer.nth term of an A.P = a ... s/o krishnamurthy movie downloadWebHow 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. sokratischer dialog kognitive therapie