WebMar 16, 2024 · Answer: d = -2 Step-by-step explanation: Because the sum of first n terms of any AP is in the form (d/2)n² + (a - d/2)n, where d is the common difference and a is the … WebIn an A.P, if S n=n(4n+1), find the general form of an A.P. Medium Solution Verified by Toppr S 1=a=5 {a= first term, d= common difference } S 2=a+(a+d)=2a+d=2(9) ⇒10+d=18 ⇒d=8 …
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WebFeb 26, 2024 · In an AP, if Sn = n (4n + 1), find the AP.? Is this the question you’re looking for? Yes No why n-1 is written two times u had explained well but still needs some … WebGiven that sn = 4n^2 + 2n. ----- (1) Substitute n = 1 in (1), we get sn = 4(1)^2 + 2(1) = 4 + 2 = 6. So, Sum of the first term of AP is 6 i.e a = 6. Now, Substitute n = 2 in (1), we get sn = 4(2)^2 + 2(2) = 4 * 4 + 2 * 2 = 16 + 4 = 20. So, Sum of the first 2 terms = 20. Now, First-term + second term = 20 6 + a2 = 20 a2 = 20 - 6 a2 = 4. Hence in AP,
WebIn an AP, if d = – 4, n = 7 and a n = 4, then a is equal to (a) 6 (b) 7 (c) 20 (d) 28 Solution: Question 2: In an AP, if a = 3.5, d = 0 and n = 101, then a n will be (a) 0 (b) 3.5 (c) 103.5 (d) 104.5 Solution: (b) For an AP a n = a + (n – 1)d= 3.5+ (101 – 1 )x 0 [by given conditions] ∴ = 3.5 Question 3: The list of numbers – 10, – 6, – 2, 2,… is WebFeb 4, 2024 · From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60∘. From another point 20 m away from this point on …
WebIn an AP, if Sn = n (4n+1), then find the AP. Solution We know that, the nth term of an AP is; an= Sn−Sn−1 an= n(4n+1)−(n−1){4(n−1)+1} [∵ Sn= n(4n+1)] ⇒ an =4n2+n−(n−1)(4n−3) ⇒ … WebJan 27, 2024 · In an AP if Sn = n(4n + 1) then Find the AP - YouTube In an AP if Sn = n(4n + 1) then Find the AP In an AP if Sn = n(4n + 1) then Find the AP...
WebMar 29, 2024 · Given Sn = 4n – n2 Taking n = 1 S1 = 4 × 1−12 = 4 – 1 = 3 ∴ Sum of first term of AP is 3 Taking n = 2 in Sn S2 = 4×2−2^2 S2 = 8 – 4 S2 = 4 ∴ Sum of first 2 terms is 4 But …
WebCorrect option is A) Given, S n=4n 2−n When n=1 , S 1=4(1) 2−1=4−1=3 Now, obviously, the sum of the first term will be the first term itself, as there are no other terms involved. When n=2 , S 2=4(2) 2−1=16=2=14 The sum of the first 2 terms is equal to a 1+a 2 Therefore, a 1+a 2=14 We have shown, above, that a 1=3 Substituting it in a 1+a 2=14, camping near alturas caWebDec 5, 2024 · The sum of the first n terms of an arithmetic progression (AP) is given by: Sn = n/2 [2a + (n-1)d] where a is the first term of the AP, d is the common difference, and n is … fir tree farm pimboWebFind the A.P. whose sum to n terms is 2n 2 +n A The required A.P. is 2,6,10,14,... B The required A.P. is 3,7,11,15,... C The required A.P. is 4,8,12,16,... D The required A.P. is 5,10,15,20,... Medium Solution Verified by Toppr Correct option is B) Given, S n=2n 2+n Now, a 1=S 1=2(1) 2+1=3 a 2=S 2−S 1=2(2) 2+2−3=7 camping near altus okWebMar 31, 2024 · If the sum of n terms of an A.P. is 2n^2 + 5n , then its nth term is A. 4n − 3 B. 3n − 4 C. 4n + 3 D. 3n + 4 asked Jul 16, 2024 in Arithmetic Progression by Maanas ( 26.0k points) arithmetic progression fir tree farm roydonWebIn an AP, if Sₙ = n (4n + 1), find the AP Solution: Given, the expression for the sum of the terms is Sₙ = n (4n + 1) We have to find the AP. Put n = 1, S₁ = 1 (4 (1) + 1) = 4 + 1 = 5 Put n … fir tree farm shop droitwichWebMar 31, 2024 · S n = n(4n + 1) Formula: a = first term. d = common difference. Calculation: S 1 = 1 (4 × 1 + 1) ⇒ S 1 = 4 + 1 = 5. S 2 = 2 (4 × 2 + 1) ⇒ S 2 = 2 × 9 = 18. Second term = S 2 … fir tree fishery shopWebAug 26, 2024 · In an AP, if Sn = n (4n + 1), then find the AP. arithmetic progression class-10 1 Answer +1 vote answered Aug 26, 2024 by Sima02 (49.6k points) selected Aug 26, 2024 … fir tree farm warmington