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Question 14 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

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

 

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/

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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo