If the sum of n terms of an ap is 2n2+5n
WebQ10. The sum of the first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP. Q11. Which term of the progression 19, 18⅕, 17⅖,….is the first negative term. Q12. If the pth, qth, rth terms of an AP be x, y, z respectively, show that x(q – r) + y(r – p) + z(p – q). Q13. If the pth term of an ... WebIf the sum of n terms of an AP is 2n2+ 5n, then its nth term is –a)4n - 3b)3n - 4c)4n + 3d)3n + 4Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation.
If the sum of n terms of an ap is 2n2+5n
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WebIf the sum of n terms of an AP is 2n 2 + 3n, then write its nth term. Advertisement Remove all ads Solution Given: S n = 2 n 2 + 3 n ⇒ S 1 = 2 ( 1) 2 + 3 ( 1) = 5 S 2 = 2 ( 2) 2 + 3 ( 2) = 14 ∴ a 1 + a 2 = 14 ⇒ 5 + a 2 = 14 ⇒ a 2 = 9 Common difference, d = a 2 − a 1 = 9 − 5 = 4 nth term = a + ( n − 1) d = 5+ ( n − 1) 4 = 4n+1 WebIf the sum of m terms of an AP is equal to sum of n terms of AP then sum of m+n terms js Solution According to question, m/2 * (2a + (m-1)d) = n/2 * (2a + (n-1)d) cutting 2 we get, m (2a + (m-1)d) - n (2a+ (n-1)d) = 0 2am + m^2d - md -2an -n^2d +nd =0 2a (m-n) + (m^2 - n^2)d - (m - n)d =0 2a (m-n) + ( (m + n) (m- n) ) d - (m - n )d = 0
WebSum of N Terms of AP. For an AP, the sum of the first n terms can be calculated if the first term, common difference and the total terms are known. The formula for the arithmetic progression sum is explained … Web14 mei 2024 · If the sum of n terms of an A.P. is 2n2 + 5n, then its nth term is A. 4n – 3 B. 3n – 4 C. 4n + 3 D. 3n + 4. LIVE Course for free. ... The sum of the first n terms of an AP is (5n^2/2 + 3n/2). Find its nth term and the 20th term of this AP. asked Jul 9, 2024 in Arithmetic Progression by Anaswara (31.5k points)
Web14 okt. 2024 · The second term of the AP Solution : Step 1 of 2 : Write down the given sum Here it is given that the sum of n terms of an AP is 2n² + 5n Sₙ = 2n² + 5n Step 2 of 2 : … Web30 mrt. 2024 · There are two AP with different first term and common difference For the first AP Let first term be = a Common difference = d Sum of n terms = Sn = /2 [2a + (n 1)d] & nth term = an = a + (n 1)d For the second AP Let first term be = A common difference = D Sum of n terms = Sn = /2 [2A + (n 1)D] & nth term = An = A + (n 1)D We need to find …
WebWhat is the Sum of n Terms of an AP Formula? The sum of n terms of an AP can be found using one of the following formulas: S n = n/2 (2a+(n−1)d) S n = n/2 (a 1 +a n) Here, a = a 1 = the first term, d = the common …
Web16 jul. 2024 · If the sum of n terms of an AP is 2n2 + 3n, then write its nth term. LIVE Course for free. Rated by 1 million+ students Get app now Login. Remember. Register; Test; JEE; NEET; ... The sum of the first n terms of an AP is (5n^2/2 + 3n/2). Find its nth term and the 20th term of this AP. asked Jul 9, 2024 in Arithmetic Progression by ... agriturismo le spighe monzambanoWebSum of n terms of AP = n/2 [2a + (n – 1)d] For AP of natural numbers, a = 1 and d = 1, Sum of n terms Sn of this AP can be found using the formula- Sn = n/2 [2×1+ (n-1)1] Sn = n (n+1)/2 Hence, this is the formula to calculate sum of ‘n’ natural numbers. Solved Examples on Sum of n Terms Some examples will enhance the understanding of the topic. nx5000 日立ハイテクWebSum of n terms of AP = n/2[2a + (n – 1)d] For AP of natural numbers, a = 1 and d = 1, Sum of n terms S n of this AP can be found using the formula-Sn = n/2[2×1+(n-1)1] S n = … nx404 バックカメラWeb5 feb. 2024 · If sun of first n terms of an A.P. is 2n2 + 7n, write its nth term. LIVE Course for free. Rated by 1 million+ students Get app now Login. Remember. Register; Test; JEE; NEET; Home; Q&A; Unanswered; ... The ratio of the sum of n terms of two A.P.'s is (7n − 1): (3n + 11), Find the ratio of their 10th terms. asked Feb 6, 2024 in ... nx514 バックカメラWebIf the sum of n terms of an AP is 2n 2 + 3n, then write its nth term. Advertisement Remove all ads Solution Given: S n = 2 n 2 + 3 n ⇒ S 1 = 2 ( 1) 2 + 3 ( 1) = 5 S 2 = 2 ( 2) 2 + 3 ( … agriturismo le sermaseWebIf the sum of n terms of an A.P. is 2n2+5n, then its nth term is A 4n - 3 B 3n - 4 C 4n + 3 D 3n + 4 Solution The correct option is C 4n + 3 Sn = 2n2+5n S1 = 2.12+5.1 =7 ∴ a1 =7 Sn … nx750/l スペックWebThe sum of first terms of an A.P. is given by Sn, = 2n2 + 8n. Find the sixteenth term of the A.P. LIVE Course for free. Rated by 1 million+ students Get app now Login. Remember. Register; Test; JEE; NEET; ... The sum of first n terms of an AP is given by Sn = 2n^2 + 3n. Find the sixteenth term of the AP. asked Nov 30, 2024 in Mathematics by ... nx711 フィルムアンテナ