How many terms of ap 24 21 18 is 78

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Web10 jul. 2024 · How many terms of the AP : 24, 21,18,... must be taken so that their sum is 78? class-10 arithmetic-progressions Answer 0 votes Best answer a=24 and d=21-24=-3 S n = n 2 (2a + (n − 1)d) S n = n 2 ( 2 a + ( n - 1) d) 78 = n 2 (2(24) + (n − 1)( − 3)) 78 = n 2 ( 2 ( 24) + ( n - 1) ( - 3)) 156=n (48-3n+3) n2 − 51n + 156 = 0 n 2 - 51 n + 156 = 0 WebLet's check sum of 4 terms ⇒ a 4 = a 3 + d ⇒ a 4 = 18 + (-3) = 15 ∴ S 4 = 24 + 21 + 18 + 15 = 78. By formula, a n = a + (n - 1)d ⇒ a 5 = 24 + (5 - 1) (-3) ⇒ a 5 = 24 + 4 (-3) ⇒ a 5 = 24 - 12 = 12. a 6 = a 5 + d = 12 + (-3) = 9 a 7 = a 6 + d = 9 + (-3) = 6 a 8 = a 7 + d = 6 + (-3) = 3 a 9 = a 8 + d = 3 + (-3) = 0 a 10 = a 9 + d = 0 + (-3) = -3

Howmanydermsmustofthe AP: 24, 21, 18....must be taken so that …

WebLet's check sum of 4 terms ⇒ a 4 = a 3 + d ⇒ a 4 = 18 + (-3) = 15 ∴ S 4 = 24 + 21 + 18 + 15 = 78. By formula, a n = a + (n - 1)d ⇒ a 5 = 24 + (5 - 1) (-3) ⇒ a 5 = 24 + 4 (-3) ⇒ a 5 = … WebHow many terms of the a.p: 24,21,18,.must be taken so that the sum is 78? View answer. How many terms of the AP: 9,17,25 .must be taken to give a sum of 636? ... How many terms of an ap 45,39,33,.must be taken so thier sum is 180? for Class 10 2024 is part of Class 10 preparation. how far is clanton alabama

Example 13 - How many terms of AP: 24, 21, 18 ... must - Examples …

WebThe 8th term of an AP is 18 more than the second term of the AP. The third term is 7. Formula: n-th term of an AP = a + (n - 1)d, where a is the first term, n is the total number … Web8 jan. 2024 · here,a = 24d = -3an = -78an = a + (n - 1)d -78 = 24 + (n - 1)-3 -78 = 24 -3n + 3 3n = 24 + 3 + 78 3n = 105 n = 105/3 n = 35so, -78 is 35th term of AP higgins building group inc

How many terms of the A.P: 24,21,18,.... must be taken so that their ...

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Web29 jan. 2024 · Best answer Here, a = 24, d = 21 – 24 = –3, Sn = 78. We need to find n. Both values of n are admissible. So, the number of terms is either 4 or 13. ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series NEET Test Series Class 12 Chapterwise MCQ Test Class 11 Chapterwise Practice Test Class 10 Chapterwise … WebConsider the following AP: 24, 21, 18..... How many terms of this AP must be taken so that their sum is 78? [4 MARKS] Solution Formula: 1 Mark Concept: 1 Mark Application: 2 … higgins building supplies wellingboroughWebEasy Solution Verified by Toppr Given, a=−6 d=− 211−(−6)= 21 Formula, S n= 2n[2a+(n−1)d] −25= 2n[2(−6)+(n−1) 21] −50=n[ 2−24+n−1] n 2−25n+100=0 (n−20)(n−5)=0 ∴n=5,20 Therefore the number of terms required is 5 or 20 Solve any question of Arithmetic Progression with:- Patterns of problems > Was this answer helpful? 0 0 Similar questions how far is clarksdale ms from greenwood ms

"Web4 jan. 2024 · Given : AP = 24,21.. Sn = 78 . To find : n = ? AP = 24, 21 , 18 .. So, First term of AP = (a) = 24, common difference (d) = (21 - 24) = -3. Let n no. of terms to be taken, So that sum = 78. So, sum of n terms of the AP, Sn = n/2 × [2a + (n-1)d] Substituting the given value in above formula we get, = n/2 × (2 x 24 + (n-1) × (-3) ∴ n/2 × ... " - How many terms of ap 24 21 18 is 78

How many terms of ap 24 21 18 is 78

WebHow many terms of the A.P: 24,21,18,.... must be taken so that their sum is 78? Medium Solution Verified by Toppr ⇒S n= 2n[2a+(n−1)d] ⇒78= 2n(2a+(n−1)d) ⇒78= 2n(2(24)+(n+1)(−3)) ⇒156=n(48−3n+3) ⇒156=n(51−3n) ⇒156=51n−3n 2 ⇒3n 2−51n+156=0 ⇒3n 2−12n−39n+156=0 ⇒3n(n−4)−3q(n−4)=0 ⇒n=4 or n= 339=13 Solve … WebQuestion How many terms of the A.P; 24,21,18,... must be taken such that their sum is 78 Easy Solution Verified by Toppr Formula, S n= 2n[2a+(n−1)d] Given, …

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Web19 apr. 2024 · So, the sum of the first 20 terms of the AP is 250. Example:How many terms of the AP: 24, 21, 18 … must be taken so that their sum is 78? Solution:Here, a = 24, d = 21 – 24 = –3, Sn= 78. We need to find n. We know that Sn= n/2[2a + (n – 1) d] Therefore, 78 = n/2[2 × 24 + (n – 1) × (-3)] 78 × 2 = n [48 – 3n + 3] 156 = 51n – 3n2 3n2– … Web25 nov. 2024 · How many terms of the AP: 24,21,18 must be taken so that thier sum is 78? See answer Advertisement Brainly User First term, a = 24 common difference, d = 21-24 …

Web18 jun. 2016 · The simplest arithmetic progression satisfying the given condition is the constant progression with all $45$ terms equal to $18.$ The sum of that progression is … Webfind a and b in the ap 24 a+b 12

WebExample: Find the sum of the first 20 terms of the arithmetic series if a 1 = 5 and a 20 = 62. Solution: Here, a 1 = 5 and a 20 = 62 and n = 20. If we have given the first term and the … Web28 mrt. 2024 · Ex 5.3, 18 Important . Ex 5.3, 19 ... 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 users Subscribe Now Get live Maths 1-on-1 Classs - Class 6 to 12. Book 30 minute class for ₹ 499 ₹ 299.

Web3 apr. 2024 · If the 10th term of an AP is 21 and 17th term is 8 more than the 13th term, then find the AP. Q4. How many terms of the AP 4, 11, 18, ________ will make the sum …

Web14 aug. 2024 · Which term of AP 13 21 29 will be 48 less than its 19th term? ... How many terms of the arithmetic progression 24 21 18 must be taken so that their sum is 78? So … higgins building services thameWebClick here👆to get an answer to your question ️ 6) How many terms of the \$ A . P .43,39,35 . \$ them so that their sem in 252 ? higgins building supplies irthlingboroughWeb14 mei 2024 · How many terms of the AP : 24, 21, 18, . . . must be taken so that their sum is 78? Q.38. How many terms of the AP : 9, 17, 25, . . . must be taken to give a sum of … higgins buildingWeb11 apr. 2024 · Complete step-by-step answer: The given A.P is 24, 21, 18,................... So the first term (a) of the A.P is = 24. And the common difference (d) of the A.P is ⇒ d = ( … how far is clarksdale from sedonaWebWhite House press corps. The White House press corps is the group of journalists, correspondents, and members of the media usually assigned to the White House in … higgins building supplies hillsboro ohioWeb25 nov. 2024 · How many terms of the AP: 24,21,18 must be taken so that thier sum is 78? See answer Advertisement Brainly User First term, a = 24 common difference, d = 21-24 = -3 let the number of terms to get sum 78 is n. how far is clarkston miWeb20 nov. 2013 · Expert Answer a = 78, d = 71 - 78 = -7 Let n be the required no. of terms Sn = 465 [2a + (n - 1)d] = 465 n [156 + (n - 1) (-7)] = 930 7n 2 - 163n + 930 = 0 (7n - 93) (n - 10) = 0 n = or n = 10 Neglect n = as n cannot be a fraction No. of terms (n) = 10 Answered by 20 Nov, 2013, 02:39: AM Application Videos how far is clarksville