WebAnswer (1 of 2): How many terms of an AP 27, 24, and 21 should be taken so that their sum is zero? Solution: Sn = 0 = (n/2)[54+(n-1)*(-3)] = n[54+3–3n] = n[57–3n] Since n … 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.
Did you know?
Web14 apr. 2024 · The team fired Hextall, Burke and assistant general manager Chris Pryor on Friday after the Penguins failed to reach the playoffs for the first time in 17 years. The decision to part with the trio ... 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 …
WebHow many terms of the AP:24,21,18.... must be taken so that their sum is 78 ? Hard Solution Verified by Toppr Given: 24,21,18,... are in A.P a=24,d=21−24=−3 Sum = 2n[2a+(n−1)d] ⇒78= 2n[2×24+(n−1)(−3)] ⇒156=n[48−3n+3] ⇒156=n[51−3n] ⇒3n 2−51n+156=0 ⇒3n 2−12n−39n+156=0 ⇒3n(n−4)−39(n−4)=0 ⇒(n−4)(3n−39)=0 ∴n=4,n= … WebEasy Solution Verified by Toppr First term, a=18; common difference, d=16−18=−2 n th terms sum is given by S n= 2n(20+(n−1)d)=0 ⇒2a+(n−1)d=0 ⇒36−2(n−1)=0 ⇒36=2n−2 ⇒2n=32 ⇒n=19. or, n=16. Was this answer helpful? 0 0 Similar questions How many terms of AP:27,24,21,..... should be taken so that their sum is zero? What is the value of that …
Web25 aug. 2024 · Click here 👆 to get an answer to your question ️ Which term of the AP: 27, 24, 21, is zero? ytbrijesh ytbrijesh 25.08.2024 Math Secondary School answered Which term of the AP: 27, 24, 21, is zero? See ... How Many soaps measuring 8 cm X 4 cm X 2cm can be arranged in this box ? class interval 1-3 3-5 5-7 7-9 frequency 12 22 27 ... Web14 apr. 2024 · The team fired Hextall, Burke and assistant general manager Chris Pryor on Friday after the Penguins failed to reach the playoffs for the first time in 17 years. The …
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 …
WebSum How many terms of the A.P. 27, 24, 21, …, should be taken so that their sum is zero? Advertisement Remove all ads Solution A.P. = 27, 24, 21,… a = 27 d = 24 – 27 = -3 S n … how far is kingston to millbrookWeb10 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) high back white sofaWeb(viii) – 26, – 24, – 22, …. to 36 terms Solution: In an A.P., if the first term = a, common difference = d, and if there are n terms. Then, the sum of n terms is given by (i) Given A.P.is 50, 46, 42 to 10 term. First term (a) = 50 Common difference (d) = 46 – 50 = – 4 n th term (n) = 10 = 5 {100 – 9.4} = 5 {100 – 36} = 5 × 64 ∴ S 10 = 320 how far is kingston nyWebHow many terms of the AP 26,21,16,11,.... are needed to give the sum 11? Medium Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions The first and last terms of an AP are 1 and 11 respectively. If the sum of its terms is 36, find the number of terms. Medium View solution > Evaluate the given series 7+12+17+.....+102= ..... high back white desk chairWeb11 apr. 2024 · And the common difference (d) of the A.P is. ⇒ d = ( 21 − 24) = ( 18 − 21) = − 3. Now we have to find out the number of terms in the A.P if the sum of an A.P is 78. As … how far is kingston tn from meWeb14 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 → high back vs backless boosterWeb28 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 term = a + (n-1)d. Here given that, a = 27 and S n = 0 We know that d = common difference = a 2 − a 1 = 24 − 27 = − 3. Putting these values in equation (i), we get high back white leather chair