In an ap the sum of first n terms is 3n2/2
WebIn an A.P., the sum of first n terms is 3n2 2 + 13 2n. Find its 25th term. Solution n term sum = 3n²/2 + 13n/2 as we know that nth term = (Sum of nth term ) - ( sum of (n-1)th term) … WebMar 8, 2024 · The sum of first n terms of an AP is +5n. To find: Which Term of AP is 152. The sum of first 20 terms . Explanation: The sum of first 20 terms .= +5n. = +5×20 = 3 × 400 + 100 = 1300 Which Term of AP is 152. = +5n. = 3×1+5×1 = 8 That is first number = 8 = +5n. = 3 × 2² +5×2 = 12+10 =22 = + 22 = 8+ = 22-8 = 14 Common difference = - = 14-8 = 6
In an ap the sum of first n terms is 3n2/2
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WebThe sum of the first n terms of an arithmetic sequence is called an arithmetic series . 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: Find the sum of the first 40 terms of the arithmetic sequence 2, 5, 8, 11, ⋯ . First find the 40 th term: WebAug 28, 2024 · Let the sum of n terms be given by Sn so Sn = 3n²/2+ 5n/2 S1 = 3 (1)²/2 + 5 (1)/2 = 3/2+5/2 => 4 so 1st term is 4 say 'a' Now S2 = 3 (2)²/2 + 5 (2)/2 = 6+5 => 11 Now a2 …
WebMay 11, 2024 · The sum of the first n terms of an AP is (3n^2/2 + 5n/2). Find its nth term and the 25th term. asked Apr 15, 2024 in Arithmetic Progression by Vevek01 ( 47.4k points) WebApr 20, 2024 · The sum of the first n term of an AP,denoted by # S_n# is given by #S_n=n^2+8n# So . n th term of the series will be. #t_n=S_n-S_(n-1)=n^2+8n-((n-1)^2+8(n-1))# #=>t_n=2n-1+8=2n+7# Inserting #n=1,2,3....# we get #"For "n=1tot_1=2*1+7=9# #"For "n=2tot_2=2*2+7=11# #"For "n=3tot_3=2*3+7=13# Hence first term #t_1=9# and common …
WebMar 22, 2024 · Transcript. 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 …(1) Putting n = 2 in … 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...
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great north equipment lloydminsterWebApr 10, 2024 · Sum of first n terms of an AP. S n = n 2 [ 2 a + ( n − 1) d] Where a =1st term & d =common difference. Or, S n = n 2 [ a + a n] If there are only n terms in an AP, then. a n. … floor covering options for concreteWebJan 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... floor coverings etcWebIf the sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of th . . . . Find the sum of all the 11 terms of an AP whose middle most term is 30; Find the sum of last ten terms of the AP: 8, 10, 12,---, 126; Explore math program. Math worksheets and visual curriculum. Get Started. floor coverings batemans bayWebJan 8, 2024 · Math Army 81.9K subscribers 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... floor covering options for living roomWebIf 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 ... 3n2 + 3o2 – p. 2 = 0. ii. m – 2o + q = 0. a. (i) is correct. b. (ii) is correct ... (ii) is correct. c. 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 + ..... a) (n – 1) 2n ... floor covering for kitchens and bathroomsWebin 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 … floor coverings in tacoma