WebFuture of mathematics cbse saharsaPlease subscribe and share and like our channel for more videosSUDHIR SIR saharsaA lot of thanks for your support WebQuestion The 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. Hard Solution Verified by Toppr Let a be the first term and d be the common different Then a 24=2a 10 a+23d=29a+9d) a+23d=2a+18d a=5d a …
the 24th term of an A.P. is twice its 10th term. Show that its 72nd ...
WebNov 23, 2024 · Given that 24th term (t24) is twice the 10th term (t10). a + 23d = 2 (a + 9d) a + 23d = 2a + 18d a = 5d ------ (1) Given that 72nd term (t72) is twice the 34th term. a + 71d = 2 (a + 33d) a + 71d = 2a + 66d a = 5d ---- (2) From (1) and (2), LHS = RHS. Hope this helps! Find Math textbook solutions? Class 9 Class 8 Class 7 Class 6 Class 5 Class 4 WebClick here👆to get an answer to your question ️ The 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. hiht university
In a certain A.P. the 24th term is twice the 10th term.
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) WebMar 31, 2024 · 10 t h term of an A.P. as ( a 1 + 9 d) and 24 t h term will be : a 24 = a 1 + ( 24 − 1) d a 24 = a 1 + 23 d - (ii) Thus, we get the 24 t h term of an AP as ( a 1 + 23 d) Now, it … 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 hihtworld