WebDec 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 the number of … WebIn the given AP, the first term is a = 7 and the common difference is d = 4. Let us assume that 301 is the n th term of AP. Then: T n = a + (n - 1)d 301 = 7 + (n - 1) 4 301 = 7 + 4n - 4 301 = 4n + 3 298 = 4n n = 74.5 But 'n' must be an integer. Hence 301 cannot be a term of the given AP. Answer: 301 cannot be a term of the given AP.
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WebMar 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 – … WebIn an AP, if s n =n (4n + 1), then find the AP. Solution: We know that, the n th term of an AP is Hence, the required AP is 5,13, 21,… Question 25: In an AP, if s n = 3n 2 + 5n and a k = 164, then find the value of k. Solution: Question 26: If s n denotes the sum of first n terms of an AP, then prove that s 12 =3(s 8-s 4) Solution: Question 27:
WebGiven sum of first n terms of the AP is Sn = 4n - n² Put n = 1, we get S1 = 4*1 - 1² = 4 – 1 = 3 So first term = 3 Now, sum of first two terms S2 = 4*2−2² (Put n=2) = 8−4 = 4 So sum of …
WebJan 20, 2014 · In an A.P.,if Sn = n (4n+1) ,find the A.P. Share with your friends 2 Follow 4 Varun.Rawat, Meritnation Expert added an answer, on 21/1/14 We have, S n = 4n 2 + n put n = 1, we get S 1 = 4 (1) 2 + 1 = 4 + 1 = 5 So, First term, a 1 = 5 Put n = 2 , we get S 2 = 4 (2) 2 + 2 = 18 so, a 2 = S 2 - S 1 = 18 - 5 = 13 Put n = 3, we get S 3 = 4 (3) 2 + 3 = 39 WebMar 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
WebSep 20, 2024 · Expert-Verified Answer 26 people found it helpful Wafabhatt given , Sn =n ( 4n + 1 ) = 4n^2 + n we know that, Tn = Sn - S (n-1) =4n^2+n -4 (n-1)^2 - (n-1) =4 (n^2-n^2+2n-1)+ (n-n+1) =8n - 4 + 1 = 8n -3 hence , Tn = 8n -3 T1 =8 (1)-3 =5 T2= 8 (2)-3 =13 so, AP is 5, 13 , 21 and so on Find Math textbook solutions? Class 7 Class 6 Class 5 Class 4
WebAssume that there are 'm' terms in an AP (Arithmetic Progression) in total whose first term is 'a' and the common difference is 'd'. Then the formula for the n th term from the last of AP … grant macewan scholarshipsWebAug 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 … chip eraser boynton beachWebMay 5, 2024 · 1 answer If an AP is Sn = n (4n+1), then find the AP asked May 5, 2024 in Class X Maths by kabita (13.8k points) class-10 0 votes 1 answer Find the common difference of the AP 4,9,14,… If the first term changes to 6 and the common difference remains the same then write the new AP. asked Jan 20, 2024 in Class X Maths by priya … chip eraser boca ratonWebIn an AP, if S n=n(4n+1), fill the AP is 5, 13, __, --- Medium Solution Verified by Toppr Correct option is A 21 S n=n(4n+1) ∴S 1=a=1(4+1)=5 and S 2=a 1+a 2=2(4×2+1)=18 ⇒a+a+d=18⇒2a+d=18 ⇒d=18−2a=18−10=8 Therefore the AP is a,a+d,a+2d,.... i.e. 5,13,21,... Was this answer helpful? 0 0 Similar questions In an AP if a=1, a n=20 and S n=399, then n … chip erbWebFeb 5, 2024 · answered If the sum of n terms of an AP is given by Sn=n (4n+1),then find the nth term of the AP See answers Advertisement ideba2011 Answer:given below Step-by-step explanation: follow the steps..... Advertisement sunitasahuo4 Answer: I think it will be help you Advertisement Advertisement grant macewan recreationWebAug 31, 2015 · The first five terms are #color(blue)(9,13,17,21,25# Explanation: #a_n=4n+5# We can find terms #1 # to #5# by substituting #n# respectively in the expression.. #a_n ... grant macewan registrar officeWebConsider an arithmetic progression (AP) whose first term is a 1 (or) a and the common difference is d.. The sum of first n terms of an arithmetic progression when the n th term is NOT known is S n = (n/2) [2a + (n - 1) d]; The sum of first n terms of an arithmetic progression when the n th term(a n) is known is S n = n/2[a 1 + a n]; Example: Mr. Kevin … grant macewan school calgary