In an ap sum of first n terms is 3n2
WebJan 8, 2024 · In an AP the sum of first n terms is 3n2/2 + 5n/2 find the 25th term. 9,479 views Jan 7, 2024 253 Dislike Share Save Math Army 81.9K subscribers In an AP the sum of first n... WebSep 5, 2024 · Maths Class-10 Chapter-5, Arithmetic Progression (AP)Extra Question from Rd SharmaIn an AP if the sum of first n terms is (3n^2)/2 + (5n)/2, find the 25th te...
In an ap sum of first n terms is 3n2
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WebIn the given problem, the sum of n terms of an A.P. is given by the expression, S n = 3n 2 + n. Here, we can find the first term by substituting n = 1 as sum of first term of the A.P. will be the same as the first term. So we get, S n = 3n 2 + n. S 1 = 3 (1) 2 + (1) = 3 +1 = 4. Therefore, the first term of this A.P is a = 4 . WebMar 22, 2024 · Ex 9.2,13 If the sum of n terms of an A.P. is 3n2 + 5n and its mth term is 164, find the value of m. Let a1, a2, … an be the given A.P Given, Sum of n terms = 3n2 + 5n Sn = 3n2 + 5n Putting n = 1 in (1) S1 = 3 × 12 + 5 × 1 = 3 × 1 + 5 × 1 = 3 + 5 = 8 Sum of first 1 terms = First term ∴ First term = a1 = S1 = 8 Sn = 3n2 + 5n …
Webin an AP the sum of first n terms is 3n2/2 + 13n/2 Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions The first term of two APs are equal and the ratios of their common differences is 1:2. If the 7th term of first AP. and 21th term of second A.P. … WebDec 19, 2024 · (iii) Sum of n terms of an AP is always quadratic in ‘n’ Example: S n = 2n 2 + 3n. Example: S n = n/4 (n + 1) we can find ‘d’ also from S n. d = 2 (coefficient of n 2) for eg. : 2n 2 + 3n, d = 2 (2) = 4 Verification: S n = 2n 2 + 3n at n = 1, S 1 = 2 + 3 = 5 = first term at n = 2, S 2 = 2 (2) 2 + 3 (2) = 8 + 6 = 14 ≠ second term
WebApr 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 WebThe sum of the first n terms of an AP is (3n^2+6n). Find the nth term and the 15th term of this AP.CLASS-10PROGRESSIONS CBSETELANGANA AND ANDHRA PRADESH STAT...
WebOct 7, 2024 · Sum of first n terms of the A.P = 3n² - 2n The A.P The 19th term of the A.P First we have to find the A.P Here sum of n terms is given as 3n² - 2n Hence sum of first term = First term (a₁) First term = 3 × 1² - 2 × 1 First term = 3 - 2 First term = 1 Hence first term of the A.P is 1 Now the sum of 2 terms is given by
WebIf Sn, the Sum of First N Terms of an Ap is Given by Sn = 3n2 - 4n, Find the Nth Term. CBSE English Medium Class 10. Question Papers 939. Textbook Solutions 33590. MCQ ... If S n, the sum of first n terms of an AP is given by Sn = 3n 2 - 4n, find the nth term. Advertisement Remove all ads. Solution Show Solution. We have, S n = 3n 2 - 4n chisholm academy uniformWebApr 15, 2024 · The sum of the first n terms of an AP is given by Sn = (3n^2 -n). Find its (i) nth term, (ii) first term and (iii) common difference. asked Sep 14, 2024 in Mathematics by … graphite ribbonWebIf t5 and t12 of an AP are 14 and 35 respectively, find the first 5 terms of the AP. a) 2, 3, 9, 11, 14. b) 2, 4, 8, 12, 14. c) 2, 5, 8, 11, 14 ... 3n2 + 3o2 – p. 2 = 0. ii. m – 2o + q = 0. a. (i) is correct. b. (ii) is correct ... Both are correct. d. None are correct. 16.Find the sum of n terms of the series 1.2 + 3.22 + 5.23 + 7.24 ... chisholm academic calendarWebThe sum of the first n terms of an A. P is 3n+4n^2. What is the first term, the fourth term, and the nth term? The formula for the sum of a regular series, also known as an arithmetic progression, is: * Let’s plug in what the question tells us: * Factor the right hand side: * Multiply both sides times 2 * Divide both sides by n: * Our A.P. graphite reviewsWebMar 29, 2024 · Similarly find the 3rd, the 10th and the nth terms. 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 sum of first term will be the first term So, First term = a = 3 Finding 2nd term Sum of first 2 terms = 4 ... chisholm accountingWebAug 28, 2024 · In an AP the sum of first n terms is 3n^2/2 + 5n/2 find the 25th term. Advertisement Expert-Verified Answer 1282 people found it helpful Brainly User Let the … chisholm 8 theatresWebSum of Squares of The First n Natural Numbers. The squares of natural numbers are: 1 2, 2 2, 3 2, 4 2,…. Or. 1, 4, 9, 16, …. We can express the sum of n terms as: 1 2 + 2 2 + 3 2 +…+ n 2. This is neither AP nor GP since either the difference between two consecutive numbers is not constant or the ratio of two consecutive numbers is constant. chisholm accounting gympie