Fill the two blanks in the sequence 2, ____ , 26, ____ so that the sequence forms an A.P

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Note : This is similar to Ex 5.2, 3 ( i ) of NCERT – Chapter 5 Class 10

Check the answer here https://www.teachoo.com/1596/513/Ex-5.2--3---In-the-following-APs--find-missing-term-in-boxes/category/Ex-5.2/

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 14 Fill the two blanks in the sequence 2, ____ , 26, ____ so that the sequence forms an A.P Given AP 2, ____ , 26, ____ Here, First term = a = 2 Third term = a3 = 26 We need to find a2 and a4 Now, an = a + (n – 1)d a3 = a + (3 – 1)d a3 = a + 2d Putting values 26 = 2 + 2d 26 – 2 = 2d 24 = 2d 24/2 = d 12 = d d = 12 Now, a2 = a + (2 – 1)d a2 = a + d Putting values a2 = 2 + 12 a2 = 14 a4 = a + (4 – 1)d a4 = a + 3d Putting values a4 = 2 + 3 × 12 a4 = 2 + 36 = 38 So, our answer is 2, 14 , 26, 38

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.