In an a.p. a 2 and d 3 then find s12
WebGiven that, a12 = 37, d = 3. As an = a + ( n − 1) d, a12 = a + (12 − 1)3. 37 = a + 33. a = 4. S n = n 2 [ a + a n] S n = 12 2 [ 4 + 37] S n = 6 ( 41) S n = 246. WebOn subtracting (1) from (2), we get S8 − S4 = 8 a + 28 d − (4 a + 6 d) = 4 a + 22 d Multiplying both sides by 3, we get 3 ( S8 − S4) = 3 (4 a + 22 d) = 12 a + 66 d = S12 [From (3)] Thus, S12 = 3 ( S8 − S4 ). Concept: Sum of First n Terms of an A.P. Is …
In an a.p. a 2 and d 3 then find s12
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WebQuestion In an AP, given a 12=37, d =3, find a and S 12. Easy Solution Verified by Toppr a 12=37,d=3 a 12=a+(12−1)d 37=a+(11×3) 37−33=a a=4 s 12= 212[2a+(12−1)3] s 12=6[8+33] s 12=246 Was this answer helpful? 0 0 Similar questions Given a 12=37,d=3, find a and S 12 Easy View solution > In an AP : Given a 3=15, S 10=125 find d and a 10 Medium 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)
WebJul 6, 2024 · Find the sum first 12 terms an A.P. whose nth term is given by an=3n+4 Advertisement Loved by our community 17 people found it helpful rajnitiwari192003 Answer: an= 3n+4 a1= 3 (1)+4 = 3+4 a1=7 a12= 3 (12)+4= 36+4 a12=40 Sn= n/2 (a+an) S12=12/2 (a+a12) =12/2 (7+40) =6 (47) S12=282 Find Math textbook solutions? Class 3 Class 2 … WebTo find out the common difference in an AP you can perform the following simple step. Explanation: Subtract the first term of the AP from the second term of the AP. d = a2 - a1 where d = common difference a2 = any term other than first term a1 = previous term For example; In the AP 3 , 9 , 15 , 21 , 27 , 33 Taking a1 = 3 Taking a2 = 9
WebJun 20, 2024 · Chapter-5 ARITHMETIC PROGRESSION Exercise-5.3 Question-3In an AP: (iii) given a = 7, a13 = 35, find d and S13
WebKey Takeaways. An arithmetic sequence is a sequence where the difference d between successive terms is constant. The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an = a1 + (n − 1)d. An arithmetic series is the sum of the terms of an arithmetic sequence. how do you program a viper alarm on a truckWebQuestion 1154461: If an= 27 , a1= -12 and d=3 find n Found 2 solutions by josgarithmetic, ikleyn: Answer by josgarithmetic(38299) (Show Source): You can put this solution on YOUR website!-----If an= 27 , a1= -12 and d=3 find n----- You are given . Just substitute and solve. phone medic rio west mallWebAug 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 how do you program a cell phoneWebApr 15, 2024 · The microwave irradiation of reaction mixtures was carried out in a Milestone Ethos Synth Microwave Synthesis Labstation. The chemical shift references for 1 H NMR spectra were the residual HDO (δ 4.79) in D 2 O or residual CHCl 3 (δ 7.26) in CDCl 3, while the 31 P NMR spectra were referenced against an external 85% H 3 PO 4 standard (δ 0 phone med termWebMar 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 … how do you program a honeywell thermostatWebDec 15, 2024 · Click here 👆 to get an answer to your question ️ For an A.P. find S12 if a 4 and d=3. kbhojwaani2703 kbhojwaani2703 12/15/2024 Mathematics High School ... Thus, The S₁₂ of given A.P is 246. Hi there! if you face any problem in the explanation then please feel free to ask. :D Advertisement Advertisement New questions in Mathematics. Hi ... how do you program a key fob to your carhow do you program a urc r6 universal remote