In a certain ap 5 times the 5th term
WebAnd it is given that the 1st,5th and 8th terms of the A.P are equal to the ,2nd and 3rd terms of a G.P. First step. First term of A.P is equal to the first term of G.P. So, t1=a1=8. Second … WebIf five times the fifth term of an A.P. is equal to 8 times its eight term, show that its 13 th term is zero Advertisement Remove all ads Solution Let a 1 , a 2 , a 3 , ….. , an, …. be the …
In a certain ap 5 times the 5th term
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WebJul 28, 2024 · in a certain AP 5 times the 5th term is equal to 8 times the 8th term then its 30th term is equals to Advertisement preetsandhu36 is waiting for your help. Add your … Web23 hours ago · Denver — a No. 1 seed, a team that moved into first in the West a few days before Christmas and stayed there the rest of the way — has a two-time (and possibly soon-to-be three-time) MVP in ...
Webt5 (fifth term of A.P)=a2 (second term of G.P) i.e ar=t+4d a=t=8 So, 8r=8+4d 2r=2+d after dividing both sides by 4 This is the equation which is the relation between ratio and the common difference. Let this be eq1. Third step. a3=t8 as per the given information i.e ar.r=t+7d where a=t=8 So, 8r.r=8+7d as r=2+d/2 as per the eq1 we get 8r.2+d/2=8+7d WebMar 22, 2024 · We know that an = a + (n – 1)d Given that 7 times the 7th term is equal to 5 times its 5th term 7 × a7 = 5 × a5 7 × (a + (7 – 1)d) = 5 × (a + (5 – 1)d) 7 × (a + 6d) = 5 × (a + 4d) 7a + 42d = 5a + 20d 7a – 5a = 20d – 42d 2a = −22d a = (−22𝑑)/2 a = –11d Now, we need to find the 12th term a12 = a + (12 – 1)d = a + 11d Putting a = –11d = –11d + 11d = …
WebMay 2, 2024 · To find: 8th term Solution: Step 1: Simplify eq.1 by using the formula , nth term , : Step 2: Simplify eq.2 by using the formula , nth term , : Step 3: Multiply eq. (3) by 2 and (4) by 5 and find a: Step 4: Substitute this value of a in eq. (5) we get Step 5: Find the 8th term by using the formula , nth term ,: Hence the 8th term is 33. WebNov 11, 2024 · Secondary School The 2nd term of an ap is nine times the 5th term and the sum of the first eight terms is 56. find the first term and the common difference. See answers Advertisement infinte Answer: First mark me brainlist and follow me Step-by-step explanation: a2=9a5 a+d=9(a+4d) a+d=9a+36d 8a+35d______(I) S8=8/2(2a+(8-1)d) …
WebSolution for if the five times the fifth term of an AP is equals to 8 time it's eight term.show that the 13th term is zero. Skip to main content. close. Start your trial now! First week only …
WebDec 28, 2024 · All you have to do is to add the first and last term of the sequence and multiply that sum by the number of pairs (i.e., by n/2). Mathematically, this is written as: S = n/2 × (a₁ + a) Substituting the arithmetic sequence equation for nᵗʰ term: S = n/2 × [a₁ + a₁ + (n-1)d] After simplification: S = n/2 × [2a₁ + (n-1)d] shanes waterproofingWebJun 12, 2024 · Let the first term of AP is a and common difference of AP is d. Therefore, the fifth term of given AP is a5 = a + 4d. And the eight term of AP is a8 = a + 7d. Given that 5 … shaneswebsiteWebMar 25, 2024 · Two times the 2nd term fo an AP is equal to five times the 5th term of the AP FORMULA USED: an = a + (n - 1) × d Calculation: 2nd term = a 2 = a + d; 5th term = a 5 = a + 4d Now, 2 (a + d) = 5 (a + 4d) ⇒ 2a + 2d = 5a + 20d ⇒ 3a + 18d = 0 ⇒ a + 6d = 0 also, 7th term = a 7 = a + 6d = 0 Required value is seven times the 7th term = 7 × a 7 = 0 shane swan state farm reviewsWebIn a certain AP, 5 times the 5th term is equal to 8 times the 8th term, its 13th term is shane sweeney oregon ohshane sweeney instagramWebOct 31, 2012 · If 5 times the 5th term of an AP is equal to 8 times its 8th term, show that the 13th term is zero. Share with your friends 5 Follow 6 Aakash Sharma, Meritnation Expert added an answer, on 1/11/12 Let a and d be the first term and common difference of A.P. Given, 5 a 5 = 8 a 8 5 ( a + 4 d) = 8 ( a + 7 d) ( an = a + ( n – 1) d) shane swart accountingWebMar 1, 2013 · The n’th term of an AP is a + (n − 1)d. The 5th term is: a + 4d. The 9th term is: a + 8d. 9th term is five times 5th term. so, a + 8d = 5 (a+4d) a + 8d = 5a + 20d. 4a = -12d. a … shane sweeting