How many terms of ap 27 24 21
Web4 mrt. 2024 · How many Terms of the AP 24 21 18 must be taken so that their Sum is 78 Class 10 Maths Chapter 5 Example 13Example 13 : How many terms of the AP : 24, 21, ... Web8 feb. 2024 · answered Feb 8, 2024 by Beepin (59.2k points) selected Feb 9, 2024 by KumkumBharti Best answer In the given A.P; a = 24, d = 4, Sn = 72 we have Sn = n/2 {2a + (n – 1)d} 72 = n/2 {2 (24) + (n – 1) (-4)} = 144 = n {48 – 4n + 4} ⇒ 144 = n {52 – 4n} ⇒ 144 = 52n – 4n2 ⇒ 4n2 – 52n + 144 = 0 ⇒ n2 – 13n + 36 = 0 ⇒ (n – 9) (n – 4) = 0 ∴ n = 9, 4
How many terms of ap 27 24 21
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Web10 okt. 2024 · We have to find the number of terms that must be taken so that their sum is 180. Solution: Let the number of terms be n. First term ( a) = 45 Common difference ( d) = 39 − 45 = − 6 We know that, S n = n 2 [ 2 a + ( n − 1) d] ⇒ 180 = n 2 [ 2 × 45 + ( n − 1) × ( − 6)] ⇒ 180 = n 2 [ 90 − 6 n + 6] ⇒ 360 = n ( − 6 n + 96) ⇒ 6 × 60 = 6 ( − n 2 + 16 n) Web12 aug. 2024 · Find an answer to your question how many terms of the ap 27 24 21 .....should be taken so that their sum is zero. hahshha hahshha 12.08.2024 Math Primary …
Web21 okt. 2024 · Best answer AP = 3, 5, 7, 9, … Here, a = 3, d = 5 – 3 = 2 and Sn = 120 We know that, ⇒ 120 = n [2+n] ⇒ n2 + 2n – 120 = 0 ⇒ n2 + 12n – 10n – 120 = 0 ⇒ n (n + 12) - 10 (n + 12) = 0 ⇒ (n – 10) (n + 12) = 0 ⇒ n – 10 = 0 or n + 12 = 0 ⇒ n = 10 or n = -12 But number of terms can’t be negative. So, n = 10 Hence, for n = 10 the sum is 120 for the … Web5 apr. 2024 · number of terms in an. A P = n 2 [ 2 a + ( n − 1) d] . Complete step-by-step answer: Series of numbers given is 21, 18, 15 …. Here in this series of AP first term is 21. We can calculate the common difference by subtracting either 21 from 18 or 18 from 15. d = 18 − 21 = 15 − 18 = − 3. So, the common difference is.
Web28 mrt. 2024 · We know that the sum of all terms of an A.P. is given by, S n = n 2 [ 2 a + ( n − 1) d], ……… (i) this can also be written as: S n = n 2 [ a + l], ………. (ii) here l = last … WebIf the sum of a certain number of terms of the AP 27, 24, 21, 18, …. is –30, find the last term. asked Jul 26, 2024 in Arithmetic Progression by Haifa ( 52.3k points) arithmetic progression
WebAnswer: Solution: The sum of an AP's n terms is given by S n = n/2 {2a + (n-1)d} where, the AP's first term is 'a 'and the common difference is 'd'. Given A.P. is 27, 24, 21. . . We …
WebThe given AP is 27, 24, 21, .. First term of the AP = 27. Common difference = 24 − 27 = −3. Let the sum of the first x terms of the AP be 0. Sum of first x terms = x 2 … popular drinks in haitiWeb13 okt. 2024 · Step-by-step explanation: The given AP is,27,24,21,.... Here first term= a=27 common difference=d=24-27=-3 Let the nth term of the AP=0 => a+ (n-1)d=0 =>27+ (n-1) (-3)=0 => (n-1)= (-27)/ (-3) => n-1=9 => n=9+1 => n=10 So, the 10th term of the AP is 0. hope it will help you. Advertisement dawin32arpit Answer: 10 please mark as brainlist answer popular drama movies on netflixpopular drinks in canadaWeb25 jul. 2024 · let first term of the AP be a1= -10 second term of the AP be a2=-7 and common difference be d. d=a2-a1 d=-7- (-10) d=-7+10 d=3 so common difference is d=3 we know that, Sum of n terms in the AP is, Sn=n/2 [2a1+ (n-1)d] 104=n/2 [2×-10 + (n-1)3] 104×2=n [-20+3n-3] 208=n [3n-23] 208=3n^2-23n 3n^3-23n-208=0 3n^2-39n+16n-208=0 … shark gifts for herWebHow many terms of the AP : 24, 21, 18, . . . must be taken so that their sum is 78? asked Jan 29, 2024 in Mathematics by Bhavyak (67.4k points) arithmetic progression; cbse; … shark gills anatomyWeb29 mrt. 2024 · Given AP 24, 21, 18,………. Here, a = 24 d = 21 – 24 = –3 Also, given Sum = 78 Sn = 78 We have to find value of n Putting these values in equation Sum = 𝒏/𝟐 [𝟐𝒂+ (𝒏−𝟏)𝒅] … popular drinks in boliviaWeb14 jan. 2024 · Best answer Solution: Given AP is -6, -11/2, -5… Here a = –6, d = (–11/2) + 6 = 1/2 Sum of n terms of AP, Sn = – 25 Using sum of n term of AP formula ⇒ n2 – 25n + 100 = 0 ⇒ n2 – 20n – 5n + 100 = 0 ⇒ n (n – 20) – 5 (n – 20) = 0 ⇒ (n – 20) (n – 5) = 0 ⇒ (n – 20) = 0 or (n – 5) = 0 ∴ n = 20 or n = 5 ← Prev Question Next Question → popular dress shirts for men