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

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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