Find the eleventh term from the last term of the AP: 27, 23, 19, ..., –65.

This is a question of CBSE Sample Paper - Class 10 - 2017/18.

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Question 3 Find the eleventh term from the last term of the AP: 27, 23, 19, ..., 65.AP is 27, 23, 19, , 65 Here a = 27 d = 23 27 = 4 First lets find which term is 65 Let an = 65 a + (n 1) d = 65 Putting values 27 + (n 1) ( 4) = 65 27 + n ( 4) 1( 4) = 65 27 4n + 4 = 65 27 4n + 4 = 65 31 4n = 65 4n = 65 31 4n = 96 n = ( 96)/( 4) n = 24 We need to find out 11th term from the last term Last term = 24th Second last term = 24 1 =23th Third last term = 24 2 = 22nd And so, on So, 11th from last term = (24 10)th term . = 14th term So, we need to find out a14 an = a + (n 1) d Putting values a14 = 27 + (14 1) ( 4) a14 = 27 + (13) ( 4) = 27 52 = 25 So, 11th term from the last = 14th term from the first = 25

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.