WebQuestion The nth term of an AP is (7−4n), then what is its common difference? Medium Solution Verified by Toppr t n=7−4n then, t 1=7−4(1)=3 t 2=7−4(2)=−1 then, common difference =d=t 2−t 1 =−1−3 =−4 ∴ common difference =−4 Was this answer helpful? 0 0 Similar questions Webn=7 i.e there are 7 terms in the AP. an=4 i.e nth term of the A.P is 4 We know that an=a+ (n-1)d So 4=4+ (7–1)d =>4–4=6d =>0=6d =>d=0 4 Yashoda Nagar B.tech in Bachelor of Technology in Electronics and Communications Engineering & Science and Mathematics, Rajasthan Technical University (Graduated 2024) 2 y solution:- an = a + (n-1)d then
Did you know?
WebCorrect option is C) As we know nth term, a n=a+(n−1)d & Sum of first n terms, S n= 2n(2a+(n−1)d), where a & d are the first term amd common difference of an AP. Given, a=5,d=3,a n=50 ⇒a+(n−1)d=50 ⇒5+(n−1)3=50 ⇒5+3n−3=50⇒3n=48⇒n=16 ∴S 16= 216[2a+(16−1)d]=8[2×5+15×3]=440 Hence, n=16,S 16=440 Solve any question of … Webn(2a+(n−1)d). Key Point The sum of the terms of an arithmetic progression gives an arithmetic series. If the starting value is a and the common difference is d then the sum of the first n terms is S n = 1 2 n(2a+(n−1)d). If we know the value of the last term ℓ instead of the common difference d then we can write the sum as S n = 1 2 n ...
WebIn the given AP, the first term is a = 7 and the common difference is d = 4. Let us assume that 301 is the n th term of AP. Then: T n = a + (n - 1)d 301 = 7 + (n - 1) 4 301 = 7 + 4n - 4 … Webnth term of an AP nth term of an arithmetic progression (intermediate) Google Classroom You might need: Calculator In an arithmetic progression, a_ {n} - a_ {9} = 12 an − a9 = 12 The common difference is 3 3. Find the value of n n. n = n = Show Calculator Stuck? Use a hint. Report a problem 7 4 1 x x y y \theta θ \pi π 8 5 2 0 9 6 3 Do 4 problems
WebApr 10, 2024 · Assume that a 1, a 2, a 3,… be an arithmetic progression (AP), in which first term a 1 is equal to “a” and the common difference is taken as “d”, then the second term, third term, etc can be calculated as follows:. Second term, a 2 = a+d. Third term, a 3 = (a+d)+d = a+2d,. Fourth term, a 4 = (a+2d)+d = a+3d, and so on.. Therefore, the nth term … WebAn arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression …
WebJul 7, 2024 · Please help with the answer for this question. Thank you. A rule was used to make the pattern shown below. 51, 45, 39, 33, 27, 21 .... Which could be the rule used to make the pattern? (A) Devide by 7 (B) Two positive integers, expressible in the form of a=p q^2r^2 t ,b=p^3 q r find LCM and HCF . -6x=72 find value of x?
WebDec 24, 2024 · selected Dec 24, 2024 by Bhairav. Best answer. Correct Answer - D. In an AP, an = a + (n − 1)d a n = a + ( n - 1) d. ⇒ 4 = a + (7 − 1)( − 4) ⇒ 4 = a + ( 7 - 1) ( - 4) [by given … optim orthopedics vidalia georgiaWebIn an AP, if d = -4, n = 7, a n = 4, then a is 28. Explanation:- For an A.P a n = a + (n - 1)d 4 = a + (7 - 1) (-4) 4 = a + 6 (-4) 4 + 24 = a a = 28 Concept: nth Term of an AP Report Error Is there … optim orthopedics walk in clinicWebThe nth term of an AP is (7 - 4n). Find its common difference. Solution Given the nth term is 7 - 4n an= 7−4n Put n = 1, a1= 7−4×1 =7−4 =3 Put n = 2, a2= 7−4×2 =7−8 =−1 Common difference d=a2−a1 = −1−3= −4 So common difference of the AP is -4 Suggest Corrections 51 Similar questions Q. The nth term of an AP is (7 − 4n). Find its common difference. portland maine to jackson msWebIn an AP, if d=−4, n=7, a n=4, then find a. Medium Solution Verified by Toppr We know, a n=a+(n−1)d Putting the value given, we get 4=a+(7−1)(−4) or a=4+24 a=28 Was this … optim package for octave 5.2WebIn an AP, if d = -4, n = 7, an = 4, then a is a. 6 b. 7 c. 20 d. 28 Solution: An arithmetic progression (AP) is a sequence where the two consecutive terms have the same common … optim orthopedics statesboro georgiaWebConsider the case of an AP with the first term a and the most common difference. d. If there are m terms in the AP, the result is. The nth term from the end is equal to (m–n+1). nth term from the end = (m–n+1)th term the beginning. ⇒nth term from the end =am-n+1. ⇒nth term from the end =a+ (m–n+1–1)d. optim othWebQ9. If m times mth term of an AP is equal to n times nth term, find the (m + n)th term of the AP. Q10. The sum of the first 7 terms of an AP is 63 and the sum of its next 7 terms is 161. Find the 28th term of this AP. Q11. Which term of the progression 19, 18⅕, 17⅖,….is the first negative term. Q12. portland maine to jamaica