WebOct 11, 2024 · so given and twenty fourth term is twice the 10th term let the first term be a and the common difference be d the 10th term=a+9d and the 24th term=a+23d given a+23d=2 (a+9d) a+23d=2a+18d a=5d we have to prove 36th term is twice the 16th term 36th term=a+35d =5d+35d =40d and the 16th term=a+15d =5d+15d =20d so 40d is twice the 20d WebApr 28, 2024 · In a certain AP 24th term is twice the 10th term.Prove that 72nd term is twice the 34th term See answers Advertisement Swarup1998 Proof : Let, the first term of the AP is a and the common difference is d. Then, n-th term = a + (n - 1)d • 24th term = a + (24 - 1)d = a + 23d • 10th term = a + (10 - 1)d = a + 9d • 72nd term = a + (72 - 1)d = a + 71d
The 24th term of an AP is twice its 10th term. Show that its 72nd …
WebMar 31, 2024 · term of an AP as ( a 1 + 23 d) Now, it is given that, the 24 t h term is twice the 10 t h term, thus we get; ∴ a 24 = 2 × a 10 ∴ a 1 + 23 d = 2 × ( a 1 + 9 d) From (i) and (ii) a 1 + 23 d = 2 a 1 + 18 d ∴ 2 a 1 − a 1 = 23 d − 18 d ∴ a 1 = 5 d - (iii) Therefore 1 s t term of AP is 5 times the common difference. Now, 34 t h term is:- Web12 hours ago · Determined to give Anderson a proper sendoff, the Sabres scored twice early in the second period, rallied to tie it when Tage Thompson added his 47th goal of the season and Casey Mittelstasdt sent ... gestos tactiles windows 11
IN A CERTAIN A.P. THE 24th TERM IS TWICE THE 10th TERM
WebThe 24th term of an AP is twice its tenth term. Show that its 72nd term is 4times its 15th term. Solution: Question 70. If the sum of first 7 terms of an AP is 49 and that of first 17 terms 289. find the sum of its first n terms. Solution: Question 71. The sum of first m terms of an AP is 4m 2 – m. If its n. Also, find the 21st term of this ... WebThe 24 th term of an A.P. is twice its 10 th term. Show that its 72 nd term is 4 times its 15 th term. Advertisement Remove all ads Solution Let a be the first term and d be the common difference. We know that, nth term = an = a + ( n − 1) d According to the question, a24 = 2 a10 ⇒ a + (24 − 1) d = 2 ( a + (10 − 1) d) ⇒ a + 23 d = 2 a + 18 d WebJul 14, 2024 · The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. asked Jul 25, 2024 in Arithmetic Progression by Ayush01 (44.9k points) class-10; arithmetic-progression; 0 votes. 1 answer. The 11th term and the 21st term of an A.P. are 16 and 29 respectively. Find the 34th term gesto synthesis