WebSolution Verified by Toppr we are given, the arithmetic series: 7,13,19.....247 total terms =n= dlastterm−firstterm+1 = 6247−7+1 = 6240+1 =40+1 =41 now , for odd series middle term will be ( 2n+1)=( 241+1)= 242=21 so here a=7, d=6, a n=a+(n−1)d 21st term will be a 21=a+921−1)d =(7)+(20)(6) =127 so the middle term of the series is 127. WebTherefore, total number of terms is 23. Since, there are odd number of terms. So, Middle term will be ( 23 + 1 2) t h term, i.e., the 12 th term. ∴ a12 = 213 + (12 − 1) (−8) = 213 − …
Did you know?
WebFind the middle terms of the A.P. 7,13,19,....,241. A 411,127 B 121,227 C 121,127 D 321,127 Medium Solution Verified by Toppr Correct option is C) Given A.P :- 7,13,19,........241 ∴a=7 t n=241 d=13−7=6 ∴t n=a+(n−1)d ∴241=7+(n−1)6 ∴ 6241−7=n−1 ∴ 6234=n−1 ∴39+1=n;n=40 ∴2n= 240=20 ...... (middle term) ∴2n+1=21 ..... (middle term) … WebFind the middle term of an AP 213 205 197 .....37. Ask questions, doubts, problems and we will help you. myCBSEguide. Courses . CBSE ... (n-1)-8 -176/-8 equals to n-1 22+1equals to n 23 equals to n(23 is odd) so middle term equals to n+1/2 23+1/2 equals to12 so 12th term is middle term an equal to a+(n-1)d a12 equal to 213+(12-1)-8 a12 …
WebHow to find middle term in ap - Best of all, How to find middle term in ap is free to use, so there's no reason not to give it a try! ... Find the middle term of the A.P. 213, 205, 197, , 37. Thus, the middle term of the given AP is 111. flag. Suggest Corrections. WebJan 3, 2024 · Find the middle term of the AP 213, 205, 197, , 37.`
WebNov 8, 2024 · Here a = 213 and d = (205-213) = -8. Let the given AP contain n terms. Then, `T_(n) = 37 rArr a + (n-1)d = 37` `rArr 213 + (n-1) xx (-8) = 37` `rArr 221-8n = 37` `rArr 8n = 221 -37 = 184 rArr n = 23.` Thus, the given AP contains 23 terms. `therefore` its middle term ` = (1)/(2) (23+ 1)` th term = 12th term. So, middle term ` = T_(12) = (a + 11d)` WebJul 5, 2024 · Find the middle terms of the AP 213 ,205, 197,.....37 Get the answers you need, now! akhil2897 akhil2897 06.07.2024 Math Secondary School ... Hence, the middle term will be 125. Advertisement Advertisement clashwithash57 clashwithash57 Just minus 8 from what you have here d=8
WebApr 6, 2024 · The formula for the middle term in case the n is even is given by the average of n 2 and n + 1 2 term. As we can see that n is odd, the middle term is = 23 + 1 2 = 12 …
WebJan 2, 2016 · First find the no. of terms in the A.P. whose d= -8 37=213+ (n-1)-8. From where n comes out be 21. So there are 21 terms in the A.P. So, the middle term will be the 11th term which is =213+ (11-1)-8 =213-80 =133 This conversation is already closed by Expert Was this answer helpful? -34 View Full Answer halman estate agents frodshamWebFind the roots of the quadratic equation 2 7 x x 2 + + 5 2 0= 6. Find the middle term of the AP 213, 205, 197, .... 37. OR If the first term of AP is p and the common difference is q, then what is its 10th term? Page 140 Sample Paper 15 CBSE Maths Standard X. Section B. 7. In the figure, PQ is a tangent to a circle with centre O. halma organic grainsWebMay 3, 2024 · Answer: Middle term = 125 Step-by-step explanation: Given series, 213, 205, 197, ...., 37. First term = 213 Common difference = 205 - 213 = -8 ∴ ⇒ ⇒ 37 = 213 - 8n + … burien library kclsWebNov 25, 2024 · Find the middle term of the ap 213, 205, 197 Rs Aggarwal Class 10 Exercise 5A Example 12Rs Aggarwal Class 10 Exercise 5A Example 12Rs Aggarwal Class 10 Cha...... halman apricotWebAug 19, 2024 · Ap = 213,205,197.. ...37 a= 213 d= 205-213 8 ap = a+ (n-1)d 37= 213+ (n-1)8 37-213= (n-1)8 176= (n-1)8 n-1= 176/8 n-1=22 n= 22+1 n=23 middle term first term + last term / 2 213+37/2 250/2 125 Advertisement Still have questions? Find more answers Ask your question New questions in Math burien little assemblyWebJan 10, 2024 · Therefore, total number of terms is 23. Since, there are odd number of terms. So, Middle term will be 23 + 1 2 th term, i.e., the 12 th term. ∴ a12 = 213 + (12 − … halma plc annual report 2013WebFind middle term of AP : 213,205,197,.....,3 Share with your friends. Share 0 ... We know that, n th term = a n = a + (n − 1)d It is given that a = 213, d = −8 and a n = 37 According to the question, ⇒ 37 = 213 + (n − 1)(−8) ⇒ 37 = 213 ... the middle term of the A.P. 213, 205, 197, ...., 37 is 125. 3 ; View Full Answer About Us ... halma offices