site stats

In an ap the sum of first n terms is 5n 2/2

WebNov 11, 2011 · Find the sum of first n terms if an AP whose nth term is 5n-1. Hence find the sum of first 20 terms Asked by 11 Nov, 2011, 04:16: PM Expert Answer n th term = 5n - 1 Put n=1, we get 1 st term = 5-1 = 4 Hence sum of n terms = n (First term + nth term)/2 = n (4+5n - 1)/2 = n (5n +3)/2 Sum of 20 terms becomes, put n = 20 S 20 = 20 (5×20 +3)/2

in an A.P the sum of first n-terms is (5n^2)/2+3n/2 . Find the 17th ...

WebThe sum of the first n term sofa an AP is ( 3 n 2 2 + 5 n 2). Find its nth term and the 25th term Advertisement Remove all ads Solution Let S denotes the sum of first n terms of the AP. ∴ s n = ( 3 n 2 2 + 5 n 2) ⇒ s n - 1 = 3 ( n - 1) 2 2 + 5 ( n - 1) 2 = 3 ( n 2 - 2 n + 1) 2 + 5 ( n - 1) 2 = 3 n 2 - n - 2 2 ∴ n th term pf the AP , a n WebThe sum of first n terms of an A.P is given by S n=2n 2+3n. Find the sixteenth term of the A.P Easy Solution Verified by Toppr Sn= 2n(2a+(n−1)d) = 2n(2a−d)+n 22d=2n 2+3n ∴2= 2d⇒=4 and 22a−d=3 ∴2a=6+d=10 or, a=5. ∴a 16=a+(1+−1)d =5+15×4=65. Was this answer helpful? 0 0 Similar questions rbnb st lary https://brain4more.com

CBSE Class 10 Answered - TopperLearning

WebGeneral term of an AP is given by: a n = S n - S (n - 1) Calculation: Given: S n = 5n 2 + 6n and m th tem is 301. a n = S n - S (n - 1) After solving above equation we get . a n = 5(n) 2 + 6(n) - [5(n - 1) 2 + 6(n - 1)] a n = 5n 2 + 6n - 5n 2 - 5 + 10n - 6n + 6. a n = 10n + 1 . For 1st term, put n = 1. So, a 1 = 10 × 1 + 1 = 11. For 2nd term ... 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 (45.2k points) selected Oct 1, 2024 by Vikash Kumar Best answer Given, Sn = 3n2/2 + 13n/2 ← Prev Question Next Question → Find MCQs & Mock Test JEE Main 2024 Test Series NEET Test … WebFormula to find the sum of AP when first and last terms are given as follows: S = n/2 (first term + last term) List of Arithmetic Progression Formulas The list of formulas is given in a tabular form used in AP. These formulas are useful to solve problems based on the series and sequence concept. Arithmetic Progressions Solved Examples rbnb thionville

Akrthmetic Progressions 115 EXERCISE 5.4 (Optional)* 1. Which term …

Category:Arithmetic Progression - AP Formula, nth Term, Sum, Examples

Tags:In an ap the sum of first n terms is 5n 2/2

In an ap the sum of first n terms is 5n 2/2

Nth term of an AP(Arithmetic Progression): Formula and Sum of n Terms

WebSo, the sum of the first n terms of an AP is given by S = n/2 [2a + (n 1) d] We can also write as S = n/2 [a + a + (n 1) d] S = n/2 [a + an] (iii) If there are only n terms in an AP, then a n = l, the last term. From (iii), S = n/2 [a + l] (iv) WebAnswer (1 of 3): If a is initial term & d is the common difference, then Sn = { 2a + ( n - 1 ) *d } * n/2 So S2n = { 2a + ( 2n - 1) *d } * n = 2an + 2n^2d - nd = (2a -d)n + 2n^2d = 3n + 14 n^2 Comparing coefficients with terms of n & n^2 we observe 2a - …

In an ap the sum of first n terms is 5n 2/2

Did you know?

WebApr 20, 2024 · Apr 20, 2024 The sum of the first n term of an AP,denoted by Sn is given by Sn = n2 +8n So n th term of the series will be tn = Sn −Sn−1 = n2 + 8n − ((n −1)2 +8(n − 1)) ⇒ tn = 2n − 1 + 8 = 2n +7 Inserting n = 1,2,3.... we get For n = 1 → t1 = 2 ⋅ 1 +7 = 9 For n = 2 → t2 = 2 ⋅ 2 +7 = 11 For n = 3 → t3 = 2 ⋅ 3 +7 = 13 Hence first term t1 = 9 WebThe 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. arithmetic progression class-10 1 Answer +2 votes answered Sep 14, 2024 by …

WebConsider an arithmetic progression (AP) whose first term is a 1 (or) a and the common difference is d.. The sum of first n terms of an arithmetic progression when the n th term is NOT known is S n = (n/2) [2a + (n - 1) d]; The sum of first n terms of an arithmetic progression when the n th term(a n) is known is S n = n/2[a 1 + a n]; Example: Mr. Kevin … WebJan 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...

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 … WebApr 16, 2024 · If the sum of first n terms is (3n2 + 5n), find its common difference. LIVE Course for free. ... If the sum of n terms of an A.P. is 3n^2 + 5n and its mth term is 164, find the value of m. ... In an AP, if Sn = 3n^2 + 5n and ak = 164, then find the value of k.

WebSum of ‘n’ terms of an A.P. 6 mins. Symmetric Representation of Three or More Terms in an A.P. 6 mins. Find a Value of Expression in AP using a Short Approach I. 4 mins. Find a …

WebIf the nth term of an A.P. is 4n^2 - 5n, what is the sum of the first n term? Given that nth term of an A.P = Note that in any AP, nth term is always linear equation in and cannot be in second degree. However, the sum of first terms of an AP is a second degree equation in . sims 4 curly hair maxis matchWebGiven, the expression for the sum of the series is Sₙ = 3n² + 5n. Last term, l is a k = 164. We have to find the value of k. Put n = 1, S₁ = 3(1)² + 5(1) = 3 + 5 = 8. ... If 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 . . . . rbnb tiny houseWebMar 22, 2024 · It is given that kth term = 5k + 1 ak = 5k + 1 To find sum of n terms, we use the formula Sn = n/2 [a + l] where Sn = sum of n terms of AP n = number of terms a = first term of A.P l = last term of A.P. sims 4 curly hairstyleWebSolution Given that sum of the first n terms of an AP is 5n - n 2 Sn = 5n − n 2 First term, a 1 = S 1 = 5 (1) − (1) 2 = 5 − 1 = 4 Sum of first two terms = S 2 = 5 (2) − (2) 2 = 10 − 4 = 6. … rbnb thonon les bainsWebMar 23, 2024 · The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP. 3. A ladder has rungs 25 cm apart. (see Fig. 5.7). The rungs decrease uniformly in length from 45 cm at the bottom to 25 cm at the top. rbnb toulonWebMar 30, 2024 · Given Sn = 2n2 + 3n Taking n = 1 S1 = 2 12 + 3 1 = 2 + 3 = 5 So, Sum of first term of AP is 5 But sum of first term will be the first term So, First term = a = 5 Taking n = 2 in Sn S1 = 2 22 + 3 2 S2 = 2 4 + 6 S2 = 8 + 6 S2 = 14 Sum of first 2 terms is 14 Finding 2nd term Sum of first 2 terms is 14 First term + Second term = 14 5 + a2 = 14 a2 = … sims 4 curly ponytailWebThe 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) … sims 4 curly ombre hair