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. 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 …
In an AP, if Sₙ = n(4n + 1), find the AP - Cuemath
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 first two terms = 4 Therefore Second term =S2 −S1 =4−3 =1 So second term = 1 Again S3 = 4×3 - 3² (Put n= 3) = 12 – 9 = 3 Therefore Third term = S3 − S2 = 3 – 4 = – 1 WebDec 5, 2024 · Q19 In an AP if Sn = n ( 4n + 1 ) , then find the AP. If s n = 4 4n + 1, find the AP SARAL INSTITUTE 6.85K subscribers Subscribe 504 views 3 months ago CLASS 10 CBSE... tsv 1860 munich schedule
In an AP, if Sn = n (4n + 1), find the AP - YouTube
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 … WebAug 31, 2015 · an = 4n +5. We can find terms 1 to 5 by substituting n respectively in the expression. an = 4n +5. So, a1 = 4 ⋅ (1) + 5 = 9. a2 = 4 ⋅ (2) + 5 = 13. a3 = 4 ⋅ (3) + 5 = 17. a4 = 4 ⋅ (4) + 5 = 21. a4 = 4 ⋅ (5) + 5 = 25. WebSolution: The sum of n terms S n = 441 Similarly, S n-1 = 356 a = 13 d= n For an AP, S n = (n/2) [2a+ (n-1)d] Putting n = n-1 in above equation, l is the last term. It is also denoted by a n. The result obtained is: S n -S n-1 = a n So, 441-356 = a n a n = 85 = 13+ (n-1)d Since d=n, n (n-1) = 72 ⇒n 2 – n – 72= 0 Solving by factorization method, tsuyu wallpaper hd