Web15 okt. 2024 · Given series is 57, 54, 51, 48, ......... First term of the series is 57 and common difference is (54-57)= -3 Here we want to find 8 th term of the series. We know, … WebWe 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
Test: Sum of n Terms of AP - EDUREV.IN
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] … 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 can i colour with cat in computer
Arithmetic Progressions - Aptitude - UPSCFEVER
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... 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 … 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 … fitpatrick skin type knowledge tester