In an ap sum of first n terms is 3n 2/2
WebSep 15, 2024 · Solution: We can use our concept of AP here to solve the problem as follows: Step 1: Calculate the first number divisible by 3 in the given range: 20 = 3 × 6 + 2 a = 20 + (3 - remainder) a = 20 + (3 - 2) a = 21 Step 2: Calculate the Last number (nth) in the given range:- 100 = 3 × 33 + 1 T n = 100 - remainder T n = 100 - 1 Tn = 99 WebApr 6, 2024 · We are given that, sum of the first 3n terms is equal to the sum of the next n terms. Sum of 3n terms of AP = S 3 n = using above formula, we get: S 3 n = 3 n 2 [ 2 a + ( 3 n − 1) d] Next n term is given by 3n + n = 4n Then, according to condition of question, we have: S 3 n = S 4 n − S 3 n ⇒ 2 S 3 n = S 4 n
In an ap sum of first n terms is 3n 2/2
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WebLet the sum of n terms be given by SnsoSn = 3n²/2+5n/2S1 = 3(1)²/2+5(1)/2= 3/2+5/2= 4So 1st term is 4 say aNowS2 = 3(2)²/2+5(2)/2= 6+5= 11Now a2 =S2−a1=> a2 =11−4= 7Now … WebWhat is the value of x in the equation 2^(x+1) - 3(2^x) + 2 = 0? If the sum of the first n terms of an arithmetic sequence is given by S = 3n^2 - 2n, what is the common difference of the sequence? what is the degree of a polynomial 5x⁴+6x²-8x-9
WebAnswer (1 of 11): Sn = n^2–3n. 10th term = sum of first 10 terms (S10) — sum of first 9 terms (S9). = (10^2 —3×10) — ( 9^2 —3×9). = 70 — 54. = 16 ... WebIn an A.P the sum of first n terms is 3n2/2 + 13n/2. Find the 25th term arithmetic progression cbse class-10 1 Answer +1 vote answered Sep 30, 2024 by KajalAgarwal …
WebTo find the sum of the first n terms of an arithmetic sequence use the formula, S n = n ( a 1 + a 2) 2 , where n is the number of terms, a 1 is the first term and a n is the last term. Example 1: Find the sum of the first 20 terms of the arithmetic series if a 1 = 5 and a 20 = 62 . S 20 = 20 ( 5 + 62) 2 S 20 = 670 Example 2:
WebJul 21, 2024 · Sn = n 2 (n + 1)(2n + 3) Explanation: Given that n th term of a series is T n = 3n2 + 2n hence, the sum Sn of given series up to first n terms Sn = n ∑ n=1T n = n ∑ n=1(3n2 +2n) = 3 n ∑ n=1n2 + 2 n ∑ n=1n = 3 n 6 (n + 1)(2n + 1) +2 n 2 (n +1) = n 2 (n + 1)(2n + 1 + 2) = n 2 (n + 1)(2n + 3) Answer link
Web4 rows · 2 × Sum = n×(a+l) ⇒ Sum = n/2(a+l) Substituting the value of l in the previous equation, ... dan brodbeck compass partnersWebJan 8, 2024 · In an AP the sum of first n terms is 3n^2/2 + 5n/2 find the 25th term.In an AP the sum of first n terms is (3n^2+ 5n)/2 find the 25th term.In an AP the sum o... dan british bake offWebMar 30, 2024 · There are 2 AP s with different first term and common difference For the first AP Let first term be a common difference be d Sum of n term = Sn = /2 (2a + (n 1)d) & nth term = an = a + (n 1)d Similarly for second AP Let first term = A common difference = D Sn = /2 (2A + (n 1)D) & nth term = An = A + (n 1)D We need to find ratio of 12th term i.e. … dan broadwood plenishWebApr 15, 2024 · The sum of the first n terms of an AP is given by Sn = (3n2 – n). Find its (i) nth term, (ii) first term and (iii) common difference. arithmetic progression class-10 1 Answer +1 vote answered Apr 15, 2024 by Nidhi01 (60.1k points) selected Apr 16, 2024 by Vevek01 Best answer Sn = 3n2 – n S1 = 3 (1)2 – 1 = 3 – 1 = 2 S2 = 3 (2)2 – 2 = 12 – 2 = 10 dan brockman hard money lendingWebAn arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression … birds nest palm treeWebAnswer (1 of 3): Sum of the first n terms, Sₙ= 5n²-2n Let S₄₉ and S₅₀ be the sum of first 49 terms and first 50 terms respectively. Let t₅₀ be the 50 th term. S₅₀= S₄₉+t₅₀ t₅₀= S₅₀-S₄₉ S₄₉ = 5(49)²-2(49) = 11907 S₅₀ = 5(50)²-2(50) = 12400 t₅₀ = … dan british tennis playerWebMar 29, 2024 · View solution. Question Text. y) If the Sum of first 'n' terms of An A.P is 43. . n2−12. . n then find the 25th Jom of A.P and sun of firet 40 terms of AP. Updated On. danbro accounting ltd