WebIf Sn denotes the sum of first n terms of an AP, then prove that S12 =3(S8−S4) Solution ∵ Sum of n terms of an AP, Sn = n 2[2a+(n−1)d] ⋯(i) ∴ S8 = 8 2[2a+(8−1)d] = 4(2a+7d) =8a+28d And S4 = 4 2[2a+(4−1)d]= 2(2a+3d) = 4a+6d N ow, S8−S4 =8a+28d−4a−6d= 4a+22d ⋯(ii) And S12 = 12 2[2a+(12−1)d] =6(2a+11d) WebMar 31, 2024 · If in an A.P a=2 and d=3 then find s12 Advertisement Answer 12 people found it helpful misspayal66 Answer: S12 = n/2 (2a+ (12-1)d =12/6 (2*2+ (11*3) =2 (4+33) =2*37 =74 ans Find Math textbook solutions? Class 12 Class 11 Class 10 Class 9 Class 8 Class 7 Class 6 Class 5 Class 4 Class 3 Class 2 Class 1 NCERT Class 9 Mathematics 619 …
In an AP (iii) Given a12=37, d=3, Find
WebSolution: Given, Sₙ denotes the sum of first n terms of an AP. We have to prove that S₁₂ = 3 (S₈ - S₄). The sum of the first n terms of an AP is given by Sₙ = (n/2) [2a + (n-1)d] LHS: S₁₂ When n = 12, S₁₂ = (12/2) [2a + (12-1)d] S₁₂ = 6 [2a + 11d] S₁₂ = 12a + 66d RHS: 3 (S₈ - S₄) When n = 8, S₈ = (8/2) [2a + (8-1)d] S₈ = 4 [2a + 7d] S₈ = 8a + 28d WebAug 27, 2024 · Putting n= 12, a= 4 and l = a12 = 37 in > Sn = n/2 (a+l), we get > S12 = 12/2 (4+37) > 6× 41 = 246 Hence, a= 4 and S12 = 246 4) We have , a3 = 15, S10= 125 Let a be the first term and d the common difference of the given. Then, > a3 = 15 and S10= 125 > a + 2d = 15 ........ (1) > and, 10/2 [ 2a + (10 - 1)d] = 125 > 5 (2a+9d) = 125 hawthorn road butchers kettering
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WebHot spot (as shown in Fig. 8) is then formed due to the intensified C-H 2 reaction at the initial 2–5 min. Compared to the hydrogen inlet temperature (1,123 K), the temperature rise for 1 MPa is only 40 K, suggesting the CCHG reaction occurs slowly. With increasing pressure, the maximum temperature rises for 2 MPa, 3 MPa, and 4 MPa are 110 K ... Webwhen you take the 3 numbers in AP as a-d, a and a+d, you can cancel out the 2 ds ( d and -d) and get the value of a quickly. You can also take the number as a, a+d and a+2d but this will make your calculation complicated and you will find it diificult to get the final value of a and d. Lawrence C. FinTech Enthusiast, Expert Investor, Finance at ... WebIf Sn denotes the sum of first n terms of an AP, then prove that S12 = 3(S8 – S4). asked Aug 26, 2024 in Arithmetic Progression by Shyam01 (50.9k points) arithmetic progression; class-10; 0 votes. 1 answer. For a given A.P. if a = 6 and d = 3, find S4. asked Sep 1, 2024 in Arithmetic Progression by Jagat (41.5k points) arithmetic progression ... hawthorn road emneth