WebMar 29, 2024 · Transcript. Ex 5.3, 10 Show that a1, a2 … , an , … form an AP where an is defined as below (ii) an = 9 − 5n . Also find the sum of first 15 terms in each case Since an = 9 – 5n Hence, the series is 4, –1, –6, ……. Since difference is same, it is an AP Common … Ex 5.3, 6 The first and the last term of an AP are 17 and 350 respectively. If the … WebAnswers (1) Here it is given that. Put n =1 then. Put n =2 then. Put n =3 then. Posted by.

Show that a1,a2,...,an form an AP where an is defined as …

WebSuppose that the matrix A = (a1, a2, ..., an) has rank m, and that for some p < m, a1, a2, ..., ap are linearly independent. Show that m - p vectors from the remaining n - p vectors can be adjoined to form a set of m linearly independent vectors. Illustrate your argument with an … WebSolution Verified by Toppr Correct option is A) Since, a 1,a 2,a 3,.....a 2n form an AP. Therefore, a 2−a 1=a 4−a 3=....a 2n−a 2n−1=d Here, a 12−a 22+a 32−a 42+....+a 2n−12 −a 2n2 =(a 1−a 2)(a 1+a 2)+(a 3−a 4)(a 3+a 4)+....+(a 2n−1−a 2n)⋅(a 2n−1+a 2n) =−d(a 1+a 2+....+a 2n)=−d( 22n(a 1+a 2n) Also, we know a 2n=a 1+(2n−1)d ⇒d= 2n−1a 2n−a 1 ekonometar

Show that a1, a2,..,an,.. form an AP where an is defined as …

WebAs we can see 7, 11, 15 … form the given sequence. A sequence is considered to be an arithmetic progression when the difference between two successive terms is constant. Here the difference between two consecutive terms is 15 - 11 = 11 - 7 = 4 Weba n = 9 − 5n. a 1 = 9 − 5 × 1 = 9 − 5 = 4. a 2 = 9 − 5 × 2 = 9 − 10 = −1. a 3 = 9 − 5 × 3 = 9 − 15 = −6. a 4 = 9 − 5 × 4 = 9 − 20 = −11. It can be observed that. a 2 − a 1 = − 1 − 4 = −5. a 3 − a 2 = − 6 − (−1) = −5. a 4 − a 3 = − 11 − (−6) = −5. i.e., a k + 1 − a k is same every time. Therefore, this is an A.P. with common difference ... team tube llc