WebJul 4, 2024 · In an APa n=4, d=2, S n= 14,find n and a Byju's Answer Standard X Mathematics Arithmetic Progression In an APa n=4... Question In an AP an=4 , d=2, Sn =-14 ,find n and … WebCalculates the n-th term and sum of the arithmetic progression with the common difference. \(\normalsize Sn=a+(a+d)+(a+2d)+\cdots +(a+(n-1)d)\\\) initial term a common difference d number of terms n n＝1,2,3... 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit the n-th …
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WebApr 6, 2024 · Class 10 ll Arithmetic Progression Ex :- 5.3 ll Question no.3 In an AP(viii) Given an=4, d=2, Sn=-14, Find 'n' and 'a'.Arithmetic Progression Ex :- 5.1Questi... WebThe sum of arithmetic progression whose first term is a and the common difference is d can be calculated using one of the following formulas: S n = n/2 (2a+(n−1)d) and S n = n/2 (a 1 +a n). The sum of AP of n natural …
WebThe students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have 2 7 flags to be fixed at intervals of every 2 m. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. WebSolution Given that, an = 4, d = 2, Sn = −14 an = a + ( n − 1) d 4 = a + ( n − 1)2 4 = a + 2 n − 2 a + 2 n = 6 a = 6 − 2 n (i) S n = n 2 [ a + a n] - 14 = n 2 [ a + 4] −28 = n ( a + 4) −28 = n (6 − 2 n …
WebNov 6, 2013 · (viii) Given that, a n = 4, d = 2, S n = −14. a n = a + (n − 1)d. 4 = a + (n − 1)2. 4 = a + 2n − 2. a + 2n = 6. a = 6 − 2n (i) −28 = n (a + 4) −28 = n (6 − 2n + 4) {From equation (i)} … WebMar 23, 2024 · Let's say that the first term of the Arithmetic Progression is "a" and the common difference is d = 2. It is given that the nth term is an = 4. Using the formula for …
WebIn an AP, given a=8,a n=62,S n=210m find n and d. Easy Solution Verified by Toppr a=8,a n=62,s n=210 a n=a+(n−1)d 62=8+(n−1)d 54=(n−1)d s n= 2n[2a+(n−1)d] 210= 2n[16+(n−1)d] 420=n[16+54] 420=70n n=6 54=(6−1)d d= 554 Was this answer helpful? 0 0 Similar questions In an AP, given a =2, d =8, S n=90, find n and a n. Easy View solution >
WebMar 29, 2024 · Given a = 7, a13 = 35 We need to find d We know that an = a + (n – 1) d Putting a = 7, n = 13 and an = 35 35 = 7 + (13 – 1) × 𝑑 35 = 7 + 12d 35 – 7 = 12d 28 = 12 d 28/12=𝑑 7/3=𝑑 d = 𝟕/𝟑 Now we need to find S13 We can use formula Sn = 𝒏/𝟐 (𝒂+𝒍) Putting n = 13, a = 7, 𝑙 = a13 = 35 = 13/2 (7+35) = 13/2 × 42 = 13 × 21 = 273 little angels 2 daycare anderson scWebS₂ = sum of first two terms of an AP = a+ a + d = 2a + d To find the common difference d, 2a + d = 18 2 (5) + d = 18 10 + d = 18 d = 18 - 10 d = 8 The series can be framed as a = 5 a + d … little angels 2010 tv show cartoonWebAug 27, 2024 · The nth term of an Arithmetic progression is 4 . Common difference of the Arithmetic progression is 2 . The sum of the n terms of the Arithmetic progression is - 14 . This implies ; Using the formula , to find the nth term of the AP ! = a + ( n - 1 ) d }= 4 d = 2 4 = a + ( n - 1 )24 = a + 2n - 2 4 + 2 = a +2n 6 = a + 2n a + 2n = 6 equation−1 little angel puppet theatreWeb(viii) Given an=4, d=2, Sn=−14, find n and a. (ix) Given a=3,n=8,S=192, find d. (x) Given l=28,S=144, and there are total 9 terms. Find a. Q. In an AP (i) Given a =5,d=3,an=50, find n and Sn. (ii) Given a=7,a13=35, find d and S13. (iii) Given a12=37,d=3, find a and S12. (iv) Given a3 =15,S10 =125, find d and a10. (v) Given d=5,S9=75, find a and a9. little angels 2 daycareWebIn an A.P. Given an = 4, d = 2, Sn = –14, find ‘n’ and ‘a’. 752 Views Switch Flag Bookmark Advertisement In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato, and the other potatoes are placed 3 m apart in a straight line. There are ten potatoes in the line (see the given Fig.) little angels academy conroeWebFor an AP, S n = (n/2) [2a+ (n-1)d] Putting n = n-1 in above equation, l is the last term. It is also denoted by a n. The result obtained is: S n -S n-1 = a n So, 441-356 = a n a n = 85 = 13+ (n-1)d Since d=n, n (n-1) = 72 ⇒n 2 – n – 72= 0 Solving by factorization method, n 2 -9n+8n-72 = 0 (n-9) (n+8)=0 So, n= 9 or -8 little angels academy dracutWebMar 29, 2024 · And, the formula to calculate sum of first n terms of an AP, that is S n, is given by, S n = n 2 ( 2 a + ( n − 1) d) ⋯ ⋯ ( i i) Now, In the given question we have, a n = 4, d = 2. Using these values in equation ( i) , we can write, a + ( n − 1) 2 = 4. Applying distributive law, we get, a + 2 n − 2 = 4. littleangels academy dracut login