WebFuture of mathematics cbse saharsaPlease subscribe and share and like our channel for more videosSUDHIR SIR saharsaA lot of thanks for your support WebJun 14, 2024 · Solution: Given that, 24th term is twice the 10th term. As we know that, to find nth term in an A.P = a + (n – 1)d a 24 = 2 (a10) a + (24 – 1)d = 2 (a + (10 – 1)d) a + 23d = 2 (a + 9d) a + 23d = 2a + 18d a = 5d …. (1) Now, the 72nd term can be expressed as: a 72 = a + (72 – 1)d = a + 71d = a + 5d + 66d = a + a + 66d [using (1)] = 2 (a + 33d)
The 14th term of an AP is twice its 8th term. If its 6th term is -8 ...
WebThe 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. arithmetic progression class-10 1 Answer +1 vote answered Sep 13, 2024 by … WebSolution Here, we are given that 24 th term is twice the 10 th term, for a certain A.P. Here, let us take the first term of the A.P. as a and the common difference as d We have to prove that a 72 = 2 a 34 So, let us first find the two terms. As we know a n = a + ( n - 1) d For 10th term (n = 10) a 10 = a + ( 10 - 1) d = a + 9d charlie hixson
Question 10. In a certain A.P. the 24th term is twice the 10th term ...
WebJan 4, 2024 · 24th term of A.P. is twice its 10th term To prove: 72nd term is 4 times its 15th term Solution: Consider a to be the 1st term and d to be the common difference of the AP. From given, We know that, Thus, Substitue the value of in equation (i), we get Now, shift the a terms to right hand side and keep the d terms in left hand side, we get WebOct 17, 2012 · if in a ap 24th term is twice the 10th term proove that 36th term is twce the 16th term .. Share with your friends. Share 5. Let the first term of the AP be a and the common difference be d. According to the question, To prove: LHS: RHS: Hence proved. 5 ; View Full Answer a+23d =2*(a+9d) solving we have . a-5d= 0. or a = 5d ... 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 hartford raceway sd