Question

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

Answer 1

Answer:

2 14 26 38

Step-by-step explanation:

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Answer 2

Answer:

The complete sequence be

2, 14, 26, 38 and this is in A.P.

Solution:

We know that if a, b, c, d are in Arithmetic Progression, we can write

b = (a + c)/2

In this problem, a = 2 and c = 26. We have to find b and d.

Then b = (2 + 26)/2 = 28/2

or, b = 14

Also, we get c = (b + d)/2

or, b + d = 2c

or, d = 2c - b = 2 * 26 - 14

or, d = 52 - 14

or, d = 38

Therefore, the complete sequence for Arithmetic Progression be

2, 14, 26, 38