In an a.p if sn n 4n + 1 find the a.p
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 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 …
In an a.p if sn n 4n + 1 find the a.p
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WebConsider 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 … WebJan 27, 2024 · In an AP if Sn = n(4n + 1) then Find the AP. AboutPressCopyrightContact usCreatorsAdvertiseDevelopersTermsPrivacyPolicy & SafetyHow …
WebAug 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 ... Web^ r . c a l v i n McKi n n e y As the result of injuries received a week before, R. Calvin McKinney, a well known resident of near T aney town, died on Thursday morning. Mr. McKinney, who was in his eighty eighth year, sustained a brok en collarbone on Thursday of last week. He had been visiting his son, John McKinney, on the home farm and ...
WebIn an AP, if S n = n (4n + 1), find the AP. Advertisement Remove all ads Solution We know that, the n th term of an AP is a n = S n – S n – 1 a n = n (4n + 1) – (n – 1) {4 (n –1) + 1} … WebSolution 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) ⇒ an =4n2+n−4n2+3n+4n−3 ⇒ an =8n−3 P …
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 …
WebAug 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 … design my own movie posterWebThe sum of the first n term of an A.P. is given by S n=3n 2+2n. Determine the A.P. and its 15 th term. Medium Solution Verified by Toppr S n=3n 2+2n Taking n=1, we get S 1=3(1) 2+2(1) ⇒S 1=3+2 ⇒S 1=5 ⇒a 1=5 Taking n=2, we get S 2=3(2) 2+2(2) ⇒S 2=12+4 ⇒S 2=16 ∴a 2=S 2−S 1=16−5=11 Taking n=3, we get S 3=3(3) 2+2(3) ⇒S 3=27+6 ⇒S 3=33 design my own nike kd musicWebFeb 1, 2024 · The sum of the first n terms of an AP is given by Sn, = 3n^2 - 4n. Determine the AP and the 12th term. ← Prev Question Next Question → +3 votes 79.8k views asked Feb 1, 2024 in Mathematics by Kundan kumar (51.5k points) The sum of the first n terms of an AP is given by S n, = 3n 2 - 4n. Determine the AP and the 12 th term. arithmetic progression design my own name tagsWebNCERT Exemplar Class 10 Maths Exercise 5.3 Sample Problem 1. If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, find the value of n. Summary: An arithmetic progression is a sequence where each term, except the first term, is obtained by adding a fixed number to its previous term. If the numbers n - 2, 4n - 1 and 5n + 2 are in AP, then the value ... chuck e cheese coupons springfield moWebIn an AP, if S n=n(4n+1), fill the AP is 5, 13, __, --- Medium Solution Verified by Toppr Correct option is A) S n=n(4n+1) ∴S 1=a=1(4+1)=5 and S 2=a 1+a 2=2(4×2+1)=18 … design my own new era hatWebGiven 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 … chuck e cheese covingtonWebIn 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. design my own nike