Web4 rows · 2 × Sum = n×(a+l) ⇒ Sum = n/2(a+l) Substituting the value of l in the previous equation, ...
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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 WebMar 29, 2024 · Misc 3 Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respectively . Show that S3 = 3 (S2– S1) We know that Sum of n terms = n/2 [2a + (n – 1)d] i.e. Sn = n/2 [2a + (n – 1)d] where a is the first term & d is the common difference of the A.P. It is given that Sum of n terms = S1 i.e. n/2 [2a+ (n – 1)d] = S1 Also, Sum of 2n ...
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 … WebSum 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.
WebMar 30, 2024 · Transcript. Question 8 The sum of first n terms of an AP is given by Sn = 2n2 + 3n . Find the sixteenth term of the AP. Given Sn = 2n2 + 3n Taking n = 1 S1 = 2 12 + 3 1 = … WebIf the sum of the first n terms of an A.P. is (1/2) [3n2 + 7n], then find its nth term. Hence write its 20th term. arithmetic progression cbse class-10 1 Answer +4 votes answered Sep 30, 2024 by KajalAgarwal (45.2k points) selected Oct 1, 2024 by Vikash Kumar Hence, a2 = 62 ← Prev Question Next Question → Find MCQs & Mock Test
WebMar 27, 2024 · Solution For 10] Find the sum of first ' n ' terms of an AP 2 ,8 ,18 ,32 , 11] If α,β and γ are the zeroes of the polynomial P(x)=x3−6x2−x+30 then fin. The world’s only live instant tutoring platform. Become a tutor About us Student login Tutor login. Login. Student Tutor. Filo instant Ask button for chrome browser. ...
WebAug 9, 2024 · It is an arithmetic progression with first term as 5 and common difference as 6 and 20^(th) term is 119 As sum of n terms of a certain series is given by S_n=2n+3n^2, Sum of 20 terms is 2×20+3×20^2=40+1200=1240. Further, sum of 19 terms is 2×19+3×19^2=38+1083=1121,. Hence 20^(th) term is 1240-1121=119. As sum of 1 term … son of the forest torrentWebThe formula for finding the n-th term of an AP is: an = a + (n − 1) × d Where a = First term d = Common difference n = number of terms a n = nth term Example: Find the nth term of AP: 1, 2, 3, 4, 5…., an, if the number of terms are 15. Solution: Given, AP: 1, 2, 3, 4, 5…., an n=15 By the formula we know, a n = a+ (n-1)d First-term, a =1 small office with couchWebApr 13, 2024 · If the sum of the first n terms of an arithmetic sequence is 3n^2 + n, and the first term is 1, what is the common difference of the sequence? Toggle navigation. Home; Ask A Question; Answer Questions; Users; Support/FAQ; Register; Login; Math Problem. yaspal2510. Question. If the sum of the first n terms of an arithmetic sequence is 3n^2 + … small off road carWebApr 3, 2024 · We will use the formula of sum of n terms of an AP given by the relation S n = n 2 [ 2 a + ( n − 1) d], where a is the first term and d is the common difference. We will assume variables for the first term and the common differences of the AP’s. We will then compare the ratio of the formula to the given ratio. son of the forest tech meshWeb(11) Search the sum the first 20 terms of the numerical series in which 3 rl term is 7 also 7 in term is 2 more than three time its 3 rad term. Solution (12) Stylish an arithmetic series, which sum of first 11 conditions is 44 and one that of the next 11 terms is 55. son of the forest taschenlampeWebAug 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 … son of the forest torchWebJan 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... son of the forest playstation